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 Clay Mathematics Institute. Summer School (2014 : Madrid, Spain), author.
 Providence, RI : Published by the American Mathematical Society for the Clay Mathematics Institute, [2020]
 Description
 Book — xiv, 229 pages : illustrations ; 26 cm
 Summary

 Foreword / Yuri I. Manin
 Feynman integrals in mathematics and physics / Spencer Bloch
 Feynman integrals and periods in configuration spaces / Özgür Ceyhan and Matilde Marcolli
 Introductory course on ladic sheaves and their ramification theory on curves / Lars Kindler and Kay Rülling
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QC19.2 .C586 2014  Unavailable In process 
2. Applications of polynomial systems [2020]
 Cox, David A., author.
 Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, [2020]
 Description
 Book — ix, 250 pages : illustrations (some color) ; 26 cm
 Summary

 Elimination theory Numerical algebraic geometry Geometric modeling Rigidity theory Chemical reaction networks Illustration credits Bibliography Index.
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QA1 .R33 NO.134  Unknown 
3. Berkeley lectures on padic geometry [2020]
 Scholze, Peter, author.
 Princeton, NJ : Princeton University Press, 2020
 Description
 Book — x, 250 pages ; 24 cm
 Summary

Berkeley Lectures on padic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of padic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of "diamonds, " which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixedcharacteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixedcharacteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a padic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores padic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including pdivisible groups, padic Hodge theory, and RapoportZink spaces, are thoroughly explained. Berkeley Lectures on padic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.
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Shelved by Series title NO.207  Unknown 
4. Integrable systems and algebraic geometry : a celebration of Emma Previato's 65th birthday [2020]
 Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2020
 Description
 Book — 2 volumes : illustrations ; 23 cm
 Summary

 Algebraic geometry: a celebration of Emma Previato's 65th birthday Ron Donagi and Tony Shaska
 1. Arithmetic analogues of Hamiltonian systems Alexandru Buium
 2. Algebraic spectral curves over Q and their taufunctions Boris Dubrovin
 3. Frobenius split anticanonical divisors Sandor J. Kovacs
 4. Halves of points of an odd degree hyperelliptic curve in its jacobian Yuri G. Zarhin
 5. Normal forms for Kummer surfaces Adrian Clingher and Andreas Malmendier
 6. functions: old and new results V. M. Buchstaber, V. Z. Enolski and D. V. Leykin
 7. Bergman taufunction: from Einstein equations and DubrovinFrobenius manifolds to geometry of moduli spaces Dmitry Korotkin
 8. The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces JeanPierre Francoise and Daisuke Tarama
 9. An extension of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords to a class of ReedMuller type codes Cicero Carvalho and Victor G. L. Neumann
 10. A primer on Lax pairs L. M. Bates and R. C. Churchill
 11. Latticetheoretic characterizations of classes of groups Roland Schmidt
 12. Jacobi inversion formulae for a curve in Weierstrass normal form Jiyro Komeda and Shigeki Matsutani
 13. Spectral construction of nonholomorphic Eisensteintype series and their Kronecker limit formula James Cogdell, Jay Jorgenson and Lejla Smajlovic
 14. Some topological applications of theta functions Mauro Spera
 15. Multiple Dedekind zeta values are periods of mixed Tate motives Ivan Horozov
 16. Noncommutative crossratio and Schwarz derivative Vladimir Retakh, Vladimir Rubtsov and Georgy Sharygin.
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 Integrable systems: a celebration of Emma Previator's 65th birthday Ron Donagi and Tony Shaska
 1. Trace ideal properties of a class of integral operators Fritz Gesztesy and Roger Nichols
 2. Explicit symmetries of the Kepler Hamiltonian Horst Knoerrer
 3. A note on the commutator of Hamiltonian vector fields Henryk Zoladek
 4. Nodal curves and a class of solutions of the Lax equation for shock clustering and Burgers turbulence LuenChau Li
 5. Solvable dynamical systems in the plane with polynomial interactions Francesco Calogero and Farrin Payandeh
 6. The projection method in classical mechanics A. M. Perelomov
 7. Pencils of quadrics, billiard doublereflection and confocal incircular nets Vladimir Dragovic, Milena Radnovic and Roger Fidele Ranomenjanahary
 8. Biflat Fmanifolds: a survey Alessandro Arsie and Paolo Lorenzoni
 9. The periodic 6particle KacVan Moerbeke system Pol Vanhaecke
 10. Integrable mappings from a unified perspective Tova Brown and Nicholas M. Ercolani
 11. On an ArnoldLiouville type theorem for the focusing NLS and the focusing mKdV equations T. Kappeler and P. Topalov
 12. Commuting Hamiltonian flows of curves in real space forms Albert Chern, Felix Knoeppel, Franz Pedit and Ulrich Pinkall
 13. The Kowalewski top revisited F. Magri
 14. The CalogeroFrancoise integrable system: algebraic geometry, Higgs fields, and the inverse problem Steven Rayan, Thomas Stanley and Jacek Szmigielski
 15. Tropical Markov dynamics and Cayley cubic K. Spalding and A. P. Veselov
 16. Positive onepoint commuting difference operators Gulnara S. Mauleshova and Andrey E. Mironov.
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Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and nonexperts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
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QA614.8 .I55 2020 V.1  Unknown 
QA614.8 .I55 2020 V.2  Unknown 
 Ghazouani, Sélim, author.
 Paris : Société Mathématique de France, 2020
 Description
 Book — viii, 183 pages : illustrations (some color) ; 24 cm
 Summary

 Introduction
 Notation and preliminary material
 Twisted (co)homology and integrals of hypergeometric type
 An explicit expression for Veech's map and some consequences
 Flat tori with two cone points
 Some explicit computations and a proof of Veech's volume conjecture when g = 1 and n = 2
 Appendix A. 1dimensional complex hyperbolic conifolds
 Appendix B. Manin connection associated to Veech's map
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Shelved by Series title N.S. NO.164  Unavailable In process 
 American Mathematical Society. Short Course, Sum of Squares : Theory and Applications (2019 : Baltimore, Maryland), author.
 Providence, Rhode Island : American Mathematical Society, [2020]
 Description
 Book — vii, 142 pages : illustrations (some color) ; 26 cm
 Summary

 Preface /
 Pablo A. Parrilo, Rekha R. Thomas
 A brief introduction to sums of squares / Grigoriy Blekherman
 The geometry of spectrahedra / Cynthia Vinzant
 Lifts of convex sets / Hamza Fawzi
 Algebraic geometry and sums of squares / Mauricio Velasco
 Sums of squares in theoretical computer science / Ankur Moitra
 Applications of sums of squares / Georgina Hall
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QA1 .S95 V.77  Unavailable At bindery 
 Bost, JeanBenoît, 1961 author.
 Cham, Switzerland : Birkhäuser, an imprint of Spinger Nature Switzerland AG, [2020]
 Description
 Book — xxxi, 374 pages ; 25 cm
 Summary

 Introduction. Hermitian vector bundles over arithmetic curves. Invariants of Hermitian vector bundles over arithmetic curves. Geometry of numbers and invariants. Countably generated projective modules and linearly compact Tate spaces over Dedekind rings. Ind and proHermitian vector bundles over arithmetic curves. Invariants of infinite dimensional Hermitian vector bundles: denitions and first properties. Summable projective systems of Hermitian vector bundles and niteness of invariants. Exact sequences of infinite dimensional Hermitian vector bundles and subadditivity of their invariants. Infinite dimensional vector bundles over smooth projective curves. Epilogue: formalanalytic arithmetic surfaces and algebraization. Appendix A. Large deviations and Cramer's theorem. Appendix B. Noncomplete discrete valuation rings and continuity of linear forms on prodiscrete modules. Appendix C. Measures on countable sets and their projective limits. Appendix D. Exact categories. Appendix E. Upper bounds on the dimension of spaces of holomorphic sections of line bundles over compact complex manifolds. Appendix F. John ellipsoids and finite dimensional normed spaces.
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QA242.6 .B67 2020  Unknown 
8. Advances in complex geometry [2019]
 [Providence, Rhode Island] : American Mathematical Society, [2019]
 Description
 Book — x, 259 pages ; 26 cm.
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QA641 .A5795 2019  Unknown 
 Tsfasman, M. A. (Michael A.), 1954 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — x, 453 pages : illustration ; 27 cm.
 Summary

 Curves with many points. I: Modular curves Class field theory Curves with many points. II Infinite global fields Decoding: Some examples Sphere packings Codes from multidimensional varieties Applications Appendix: Some basic facts from Volume 1 Bibliography List of names Index.
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QA3 .A4 V.238  Unknown 
 Barlet, D. (Daniel), author.
 Cham, Switzerland : Springer, [2019]
 Description
 Book — xi, 533 pages : illustrations ; 25 cm
 Summary

 Preliminary Material
 Holomorphic Mappings
 Definitions
 The Case Where E is FiniteDimensional
 Holomorphic = Analytic for Arbitrary E
 Complex Manifolds
 Manifolds
 Vector Bundles
 Projective Space P(E)
 Grassmannians
 Further Examples of Complex Manifolds
 Integration on Oriented Manifolds and Stokes' Formula
 Differential Forms on a Complex Manifold
 Symmetric Products of C
 Continuity of Roots
 Weierstrass Preparation Theorem
 The Symmetric Product of C
 Symmetric Products of Topological Spaces
 Vector Symmetric Functions
 Vertical Localization
 Canonical Equations
 Complex Structure on Symk(Cp)
 Stratification
 Multigraphs and Reduced Complex Spaces
 Reduced Multigraph
 Proper Mappings
 Analytic Subsets
 Analytic Continuation
 Analytic Étale Coverings
 Reduced Multigraphs
 Local Study of Reduced Multigraphs
 Irreducibility of Reduced Multigraphs
 Multigraphs
 Basic Definitions
 Classification Map and the Canonical Equation
 Analytic Subsets
 Local Parameterization Theorem : First Version
 Irreducible Components and Singular Locus
 Maximum Principle
 Ramified Covers
 Local Parameterization Theorem : Final Version
 Analyticity of the Singular Locus
 Reduced Complex Spaces
 Definitions and Elementary Properties
 Singular Locus and Irreducible Components
 Dimension and Local Irreducibility
 Minimal Embeddings and the Zariski Tangent Space
 Fiber Dimension and Generic Rank
 Symmetric Product of a Reduced Complex Space
 Proper Finite Mappings
 RemmertStein Theorem
 Notes on Chapter 1 and this chapter
 The Preparation and Division Theorems
 The Local Parameterization Theorem
 The Three Definitions of Ramified Covers
 Complex Spaces
 The Theorem of RemmertStein
 Analysis and Geometry on a Reduced Complex Space
 Transversality and the Zariski Tangent Cone
 Transverse Planes to an Analytic Subset
 Algebraic Cones
 Transversality and the Tangent Cone
 Zariski Tangent Cycle
 The Theorem of P. Lelong
 Introduction
 Preliminaries
 The Case of a Reduced Multigraph
 Differential Forms on a Reduced Complex Space
 Lelong's Theorem : General Case
 Volume
 Coherent Sheaves
 Coherent Sheaves on a Reduced Complex Space
 Canonical Topology
 Modifications and Blowups
 Modifications
 Blowups
 Meromorphic Mappings
 Normalization
 Normal Spaces
 Meromorphic Functions
 Locally Bounded Meromorphic Functions
 Universal Denominators
 Additional Material on Normality
 Normalization
 The Weak Normalization
 Complementary Material on Meromorphic Functions
 Local Bound of Volume of General Fibers
 Local Blowing Up
 The Theorem
 Direct Image and Enclosure
 Holomorphic Mappings with Values in a TVS
 Reduced Multigraphs in a Sequentially Complete TVS
 The Direct Image Theorem
 Theorem on Encloseability
 Holomorphic Convexity : The Quotient Theorem
 Dirac Mapping
 Holomorphically Convex Spaces
 Stein Spaces and the Remmert Reduction
 The Quotient Theorem of H. Cartan
 Notes on This Chapter
 Transversality and the Zariski Tangent Cone
 Algebraic Cones
 The Theorem of P. Lelong, Canonical Topology, Modifications and Blowups
 Normalization
 Weak Normalization
 Bound of Volume of General Fibers
 Direct Image and Encloseability : Holomorphic Convexity
 Quotient Theorem
 Families of Cycles in Complex Geometry
 Families of Cycles
 Cycles
 Elementary Operations on Cycles
 Functorial Properties
 Continuous Families of Cycles
 Scales
 Topology of C...(M) and of Cn(M)
 Functions Denned by Integration
 C...(M) and Cn(M) are Second Countable
 Continuity of Direct Image Maps
 Integration of Cohomology Classes : Topological Case
 Compactness and the Theorem of E. Bishop
 Cycles as Currents
 Analytic Families of Cycles
 Basic Definitions
 Multiplicity of a Point in a Cycle
 Graph of an Analytic Family of Cycles
 The Case of a Normal Parameter Space
 Stability of Analytic Families by Direct Images
 Fundamental Counterexample
 What Does Not Work!
 Example
 Characterization of Isotropic Morphisms : Applications
 Isotropic Morphisms
 Integration of Cohomology Classes
 Finiteness of the Space of Cycles : Applications
 Finiteness Theorem
 Some Consequences
 Theorem on Connectedness
 Number of Irreducible Components
 Connected Cycles
 Relative Cycles
 Preliminaries
 The Space of Cycles Relative to a Morphism
 Fibers of a Proper Meromorphic Mapping
 The Case of a Proper Holomorphic Map
 The Case of a Proper Meromorphic Map
 Almost Holomorphic Mappings
 Analytic Families of Holomorphic Mappings
 Appendix I : Complexification
 Conjugation on a Complex Vector Space
 Complexification of a Real Vector Space
 The Complex Case
 Orientation of a Complex Vector Space
 The Space ...(E)
 Positivity in the Sense of P. Lelong
 Appendix II : Locally Convex Topological Vector Spaces
 Bibliography
 Index
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QA331.7 .B37 2019  Unknown 
11. Formal geometry and bordism operations [2019]
 Peterson, Eric, 1987 author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2019.
 Description
 Book — xiv, 405 pages ; 24 cm.
 Summary

 Foreword Matthew Ando Preface Introduction
 1. Unoriented bordism
 2. Complex bordism
 3. Finite spectra
 4. Unstable cooperations
 5. The orientation Appendix A. Power operations Appendix B. Loose ends References Index.
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QA613.2 .P48 2019  Unknown 
12. Hodge ideals [2019]
 Mustata, Mircea, 1971 author.
 Providence : American Mathematical Society, [2019]
 Description
 Book — v, 80 pages : illustrations ; 26 cm
 Summary

 Introduction Preliminaries Saito's Hodge filtration and Hodge modules Birational definition of Hodge ideals Basic properties of Hodge ideals Local study of Hodge ideals Vanishing theorems Vanishing on $\mathbf{P} ^n$ and abelian varieties, with applications Appendix: Higher direct images of forms with log poles References.
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Shelved by Series title NO.1268  Unknown 
 Wan, Chen, author.
 Providence, RI : American Mathematical Society, [2019]
 Description
 Book — v, 90 pages ; 26 cm
 Summary

 Introduction and main result Preliminarities Quasicharacters Strongly cuspidal functions Statement of the Trace formula Proof of Theorem 1.3 Localization Integral transfer Calculation of the limit $\lim _N\rightarrow \infty I_x, \omega , N(f)$ Proof of Theorem 5.4 and Theorem 5.7 Appendix A. The proof of Lemma 9.1 and Lemma 9.11 Appendix B. The reduced model Appendix B. The reduced model Bibliography.
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Shelved by Series title NO.1263  Unknown 
 Lorscheid, Oliver, author.
 Providence, RI : American Mathematical Society, 2019
 Description
 Book — v, 78 pages : illustrations ; 25 cm
 Summary

 Introduction Background Schubert systems First applications Schubert decompositions for type $\widetilde{D}_n$ Proof of Theorem 4.1 Appendix A. Representations for quivers of type $\widetilde{D}_n$ Appendix B. Bases for representations of type $\widetilde{D}_n$ Bibliography.
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Shelved by Series title NO.1258  Unknown 
15. Slenderness. Volume 1, Abelian categories [2019]
 Dimitric, Radoslav (Radoslav Milan), author.
 Cambridge : Cambridge University Press, 2019.
 Description
 Book — xii, 317 pages ; 24 cm.
 Summary

 Introduction
 1. Topological rings and modules and their completions
 2. Inverse limits
 3. The idea of slenderness
 4. Objects of type / \coprod
 5. Concrete examples. Slender rings
 6. More examples of slender objects Appendix. Ordered sets and measurable cardinals References Notation index Name Index Subject index.
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QA611.28 .D56 2019  Unknown 
 Liu, Kai, 1964 author.
 Cambridge, UK : Cambridge University Press, 2019.
 Description
 Book — ix, 266 pages ; 23 cm.
 Summary

 Preface
 1. Preliminaries
 2. Stability of linear stochastic differential equations
 3. Stability of non linear stochastic differential equations
 4. Stability of stochastic functional differential equations
 5. Some applications related to stochastic stability Appendix References Index.
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QA274.23 .L5825 2019  Unknown 
 American Mathematical Society Summer Institute on Algebraic Geometry (2015 : University of Utah)
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Description
 Book — 2 volumes : illustrations ; 26 cm.
 Summary

 Part 1: A. Bayer, Wallcrossing implies BrillNoether applications of stability conditions on surfaces R. J. Berman, KahlerEinstein metrics, canonical random point processes and birational geometry T. Bridgeland, Hall algebras and DoanldsonThomas invariants S. Cantat, The Cremona group A.M. Castravet, Mori dream spaces and blowups T. de Fernex, The space of arcs of an algebraic variety S. Donaldson, Stability of algebraic varieties and Kahler geometry L. Ein and R. Lazarsfeld, Syzygies of projective varieties of large degree: Recent progress and open problems E. Gonzalez, P. Solis, and C. T. Woodward, Stable gauged maps D. Greb, S. Kebekus, and B. Taji, Uniformisation of higherdimensional minimal varieties H. D. Hacon, J. McKernan, and C. Xu, Boundedness of varieties of log general type D. HalpernLeistner, $\Theta$stratifications, $\Theta$reductive stacks, and applications A. Horing and T. Peternell, Bimeromorphic geometry of Kahler threefolds S. J. Kovacs, Moduli of stable logvarietiesAn update A. Okounkov, Enumerative geometry and geometric representation theory R. Pandharipande, A calculus for the moduli space of curves Z. Patakfalvi, Frobenius techniques in birational geometry M. Paun, Singualar Hermitian metrics and positivity of direct images of pluricanonical bundles M. Popa, Positivity for Hodge modules and geometric applications R. P. Thomas, Notes on homological projective duality Y. Toda, Noncommutative deformations and DonaldsonThomas invariants V. Tosatti, Nakamaye's theorem on complex manifolds.
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 Part 2: D. BenZvi and D. Nadler, Betti geometric Langlands B. Bhatt, Specializing varieties and their cohomology from characteristic 0 to characteristic $p$ T. D. Browning, How often does the Hasse principle hold? L. Caporaso, Tropical methods in the moduli theory of algebraic curves R. Cavalieri, P. Johnson, H. Markwig, and D. Ranganathan, A graphical interface for the Gromovwitten theory of curves H. Esnault, Some fundamental groups in arithmetic geometry L. Fargues, From local class field to the curve and vice versa M. Gross and B. Siebert, Intrinsic mirror symmetry and punctured GromovWitten invariants E. Katz, J. Rabinoff, and D. ZureickBrown, Diophantine and tropical geometry, and uniformity of rational points on curves K. S. Kedlaya and J. Pottharst, On categories of $(\varphi, \Gamma)$modules M. Kim, Principal bundles and reciprocity laws in number theory B. Klingler, E. Ullmo, and A. Yafaev, Bialgebraic geometry and the AndreOoert conjecture M. Lieblich, Moduli of sheaves: A modern primer J. Nicaise, Geometric invariants for nonarchimedean semialgebraic sets T. Pantev and G. Vezzosi, Symplectic and Poisson derived geometry and deformation quantization A. Pirutka, Varieties that are not stably rational, zerocycles and unramified cohomology T. Saito, On the proper pushforward of the characteristic cycle of a constructible sheaf T. Szamuely and G. Zabradi, The $p$adic Hodge decomposition according to Beilinson A. Tamagawa, Specialization of $\ell$adic representations of arithmetic fundamental groups and applications to arithmetic of abelian varieties O. Wittenberg, Rational points and zerocycles on rationally connected varieties over number fields.
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QA1 .A626 V.97:PT.1  Unknown 
QA1 .A626 V.97:PT.2  Unknown 
18. Algebraic statistics [2018]
 Sullivant, Seth, author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — xiii, 490 pages : illustrations ; 26 cm.
 Summary

 Introduction Probability Primer Algebra Primer Conditional Independence Statistics Primer Exponential Families Likelihood Inference The Cone of Sufficient Statistics Fisher's Exact Test Bounds on Cell Entries Exponential Random Graph Models Design of Experiments Graphical Models Hidden Variables Phylogenetic Models Identifiability Model Selection and Bayesian Integrals MAP Estimation and Parametric Inference Finite Metric Spaces Bibliography Index.
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QA276 .S8945 2018  Unknown 
 Cham, Switzerland : Springer, [2018]
 Description
 Book — ix, 256 pages : illustrations ; 24 cm.
 Summary

 1. Notes on Weyl algebras and Dmodules / Markus Brodmann
 2. Inverse systems of local rings / Juan Elias
 3. Lectures on the representation type of a projective variety / Rosa M. MiróRoig
 4. Simplicial toric varieties which are settheoretic complete intersections / Marcel Morales.
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Shelved by Series title V.2210  Unknown 
20. Introduction to algebraic geometry [2018]
 Cutkosky, Steven Dale, author.
 Providence, Rhode Island : American Mathematical Society, [2018]
 Description
 Book — xii, 484 pages : illustrations ; 27 cm.
 Summary

 A crash course in commutative algebra Affine varieties Projective varieties Regular and rational maps of quasiprojective varieties Products The blowup of an ideal Finite maps of quasiprojective varieties Dimension of quasiprojective algebraic sets Zariski's main theorem Nonsingularity Sheaves Applications to regular and rational maps Divisors Differential forms and the canonical divisor Schemes The degree of a projective variety Cohomology Curves An introduction to intersection theory Surfaces Ramification and etale maps Bertini's theorem and general fibers of maps Bibliography Index.
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QA564 .C8794 2018  Unknown 