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 Workshop "Singularities in Geometry, Topology, Foliations and Dynamics" (2014 : Mérida, Mexico)
 Cham, Switzerland : Birkhäuser, 2017.
 Description
 Book — 1 online resource.
 Summary

 Extending the action of Schottky groups on the complex antide Sitter space to the projective space. Puiseux Parametric Equations via the Amoeba of the Discriminant. Some open questions on arithmetic Zariski pairs. Logarithmic vector fields and the Severi strata in the discriminant. Classification of Isolated Polar Weighted Homogeneous Singularities. Rational and iterated maps, degeneracy loci, and the generalized RiemannHurwitz formula. On singular varieties with smooth subvarieties. On Polars of Plane Branches. Singular Intersections of Quadrics I. A New Conjecture, a New Invariant, and a New Nonsplitting Result. Lipschitz geometry does not determine embedded topological type. Projective transverse structures for some foliations. Chern classes and transversality for singular spaces.
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 FrancoJapanese Singularity Conference (6th : 2011 : Fukuokashi, Japan)
 [Tokyo] : Mathematical Society of Japan, [2015]
 Description
 Book — 282 pages : illustrations ; 24 cm.
 Summary

 I. Survey Articles: Smooth double subvarieties on singular varieties. II by M. R. GonzalezDorrego Survey of apparent contours of stable maps between surfaces by T. Yamamoto II. Research Articles: Valuations divisorielles et connexite en codimension 1 by C. Beddani The Alexander module of a trigonal curve. II by A. Degtyarev Monodromy of triple point line arrangements by A. Dimca On fibered links of singularities of polar weighted homogeneous mixed polynomials by K. Inaba On classes in the classification of curves on rational surfaces with respect to logarithmic plurigenera by H. Ishida The links specific to hypersurface simple $K3$ singularities by A. Katanaga On (4,3) line degenerated torus curves and torus decompositions by M. Kawashima On the computation of algebraic local cohomology classes associated with semiquasihomogeneous singularities by K. Nabeshima and S. Tajima Some geometricarithmetic aspects of separated variable curves by V. K. Nguyen Mixed functions of strongly polar weighted homogeneous face type by M. Oka Singular fibers in barking families of degenerations of elliptic curves by T. Okuda Mirror symmetry between orbifold projective lines and cusp singularities by A. Takahashi.
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 JapaneseAustralian Workshop on Real and Complex Singularities (JARCS4 KOBE 2011) (4th : 2011 : Kobe, Japan)
 Singapore ; Hackensack, NJ : World Scientific, [2014]
 Description
 Book — x, 201 pages : illustrations ; 24 cm
 Summary

A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity theory is to explore the properties of singular points of functions and mappings.This is a volume on the proceedings of the fourth JapaneseAustralian Workshop on Real and Complex Singularities held in Kobe, Japan. It consists of 11 original articles on singularities. Readers will be introduced to some important new notions for characterizations of singularities and several interesting results are delivered. In addition, current approaches to classical topics and stateoftheart effective computational methods of invariants of singularities are also presented. This volume will be useful not only to the singularity theory specialists but also to general mathematicians.
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 International Workshop on Real and Complex Singularities (11th : 2010 : Universidade de São Paulo)
 Providence, R.I. : American Mathematical Society, c2012.
 Description
 Book — xiii, 202 p. : ill ; 26 cm.
 Summary

This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 2630, 2010, in Sao Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: ArtinGreenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal.
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6. Real and complex singularities [2010]
 International Workshop on Real and Complex Singularities (10th : 2008 : São Carlos, São Paulo, Brazil)
 Cambridge, UK ; New York : Cambridge University Press, 2010.
 Description
 Book — xv, 396 p. : ill. ; 23 cm.
 Summary

 Preface C. T. C. Wall, M. C. Romero Fuster and M. Manoel
 On a conjecture by A. Durfee E. Artal Bartolo, J. Carmona Ruber and A. MelleHernandez
 On normal embedding of complex algebraic surfaces L. Birbrair, A. Fernandes and W. D. Neumann
 Local Euler obstruction, old and new, II JeanPaul Brasselet and Nivaldo G. Grulha, Jr
 Branching of periodic orbits in reversible Hamiltonian systems C. A. Buzzi, L. A. Roberto and M. A. Teixeira
 Topological invariance of the index of a binary differential equation L. S. Challapa
 About the existence of Milnor fibrations J. L. CisnerosMolina and R. N. Araujo dos Santos
 Counting hypersurfaces invariant by onedimensional complex foliations Mauricio Correa, Jr and Marcio G. Soares
 A note on topological contact equivalence J. C. F. Costa
 BiLipschitz equivalence, integral closure and invariants Terence Gaffney
 Solutions to PDEs and stratification conditions Terence Gaffney
 Real integral closure and Milnor fibrations Terence Gaffney and R. N. Araujo dos Santos
 Surfaces around closed principal curvature lines, an inverse problem R. Garcia, L. F. Mello and J. Sotomayor
 Euler characteristics and atypical values Helmut A. Hamm
 Answer to a question of Zariski A. Hefez and M. E. Hernandes
 Projections of timelike surfaces in the de Sitter space Shyuichi Izumiya and Farid Tari
 Spacelike submanifolds of codimension at most two in de Sitter space M. Kasedou
 The geometry of Hopf and saddlenode bifurcations for waves of HodgkinHuxley type Isabel S. Labouriau and Paulo R. F. Pinto
 Global classifications and graphs J. MartinezAlfaro, C. Mendes de Jesus and M. C. RomeroFuster
 Real analytic Milnor fibrations and a strong Lojasiewicz inequality David B. Massey
 An estimate of the degree of Ldeterminacy by the degree of Adeterminacy for curve germs T. Nishimura
 Regularity of the transverse intersection of two regular stratifications Patrice Orro and David Trotman
 Pairs of foliations on surfaces Farid Tari
 BiLipschitz equisingularity David Trotman
 Gaffney's work on equisingularity C. T. C. Wall
 Singularities in algebraic data acquisition Y. Yomdin.
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7. Singularities : NiigataToyama 2007 [2009]
 FrancoJapanese Singularity Conference (4th : 2007 : Toyamashi, Japan)
 Tokyo : Mathematical Society of Japan, c2009.
 Description
 Book — 394 p. : ill. ; 24 cm.
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 International Workshop on Real and Complex Singularities (9th : 2006 : São Carlos, São Paulo, Brazil)
 Providence, R.I. : American Mathematical Society, c2008.
 Description
 Book — viii, 261 p. : ill. ; 26 cm.
 Summary

 Conjugate vectors of immersed manifolds by D. Dreibelbis Invariants of $D(q, p)$ singularities by T. Gaffney Nilpotents, integral closure and equisingularity conditions by T. Gaffney Singularities in generic oneparameter complex and analytic families of maps by K. Houston Global classification of singular curves on the symplectic plane by G. Ishikawa Counting isolated singularities of a stable perturbation of a finitely $\mathcal{A}$determined mapgerm $\mathbb{C}^n, 0)\to(\mathbb{C}^p, 0)$ with $n
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QA614.58 .I527 2006  Available 
 Providence, R.I. : American Mathematical Society, c2008.
 Description
 Book — 2 v. : ill. ; 26 cm.
 Summary

 1. Algebraic and analytic aspects
 2. Geometric and topological aspects.
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 AustralianJapanese Workshop on Real and Complex Singularities (1st : 2005 : Australia)
 Singapore ; Hackensack, N.J. : World Scientific, c2007.
 Description
 Book — xiii, 459 p. : ill. + 1 CD ROM (4 3/4 in.)
 Summary

 Integral curves for contact and Engel structures / J. Adachi
 On the realisation of a map of certain class as a desingularization map / K. Bekka, T. Fukui and S. Koike
 Hermitian pairings and isolated singularities / J. Hillman
 Zariski's moduli problem for plane branches and the classification of Legendre curve singularities / G. Ishikawa
 Introduction to algebraic theory of multivariate interpolation / S. Izumi
 Fundamental properties of germs of analytic mappings of analytic sets and related topics / S. Izumi
 Singularity theory of smooth mappings and its applications: A survey for nonspecialists / S. Izumiya
 Birational geometry and homological mirror symmetry / L. Katzarkov
 Desingularization and equisingularity at undergraduate level / T.C. Kuo and L. Paunescu
 General selfsimilarity: An overview / T. Leinster
 Generalized PluckerTeissierKleiman formulas for varieties with arbitrary dual defect / Y. Matsui and K. Takeuchi
 Derived Picard groups and automorphism groups of derived categories / J. Miyachi
 Analytic approach to deformation of normal isolated singularities / K. Miyajima
 An infinite version of homological mirror symmetry / A. Neeman
 Stable reduction and topological invariants of complex polynomials / P. Norbury
 Singularities appearing in a stable perturbation of a mapgerm / M. Ohsumi
 Existence problem for fold maps / K. Sakuma
 On completely integrable first order ordinary differential equations / M. Takahashi
 Cyclides as surfaces which contain many circles / N. Takeuchi
 Euler number formulas in terms of singular fibers of stable maps / T. Yamamoto.
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11. Singularities in geometry and topology 2004 [2007]
 Tokyo : Mathematical Society of Japan, c2007.
 Description
 Book — 329 p. : ill. ; 24 cm.
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12. Singularity theory and its applications [2006]
 Tokyo : Mathematical Society of Japan, c2006.
 Description
 Book — 583 p. : ill. ; 24 cm.
 Summary

 Invariants of combinatorial line arrangements and Rybnikov's example by E. A. Bartolo, J. C. Ruber, J. I. CogolludoAgustin, and M. A. MarcoBuzunariz On time averaged optimization of dynamic inequalities on a circle by A. Davydov Thom polynomial computing strategies. A survey by L. M. Feher and R. Rimanyi The complex crystallographic groups and symmetries of $J_{10}$ by V. Goryunov and S. H. Man $tt^*$ geometry and mixed Hodge structures by C. Hertling Thom polynomials by M. Kazarian Quasiconvex decomposition in ominimal structures. Application to the gradient conjecture by K. Kurdyka and A. Parusinski Homotopy groups of complements to ample divisors by A. Libgober Massey products of complex hypersurface complements by D. Matei On degree of mobility for complete metrics by V. S. Matveev Valuations and moduli of Goursat distributions by P. Mormul Semidifferentiabilite et version lisse de la conjecture de fibration de Whitney by C. Murolo and D. Trotman Submanifolds with a nondegenerate parallel normal vector field in euclidean spaces by J. J. NunoBallesteros Weighted homogeneous polynomials and blowanalytic equivalence by O. M. Abderrahmane Characteristic classes of singular varieties by A. Parusinski On the classification of 7th degree real decomposable curves by G. M. Polotovskiy $\mathcal A$topological triviality of map germs and Newton filtrations by M. J. Saia and L. M. Soares On the topology of symmetry sets of smooth submanifolds in $\mathbb{R}^k$ by V. D. Sedyh An infinitesimal criterion for topological triviality of families of sections of analytic varieties by M. A. S. Ruas and J. N. Tomazella Lines of principal curvature near singular end points of surfaces in $\mathbb{R}^3$ by J. Sotomayor and R. Garcia $r$ does not imply $n$ or $(npf)$ for definable sets in non polynomially bounded ominimal structures by D. Trotman and L. Wilson Valuations and local uniformization by M. Vaquie Arc spaces, motivic integration and stringy invariants by W. Veys Finite Dehn surgery along A'Campo's divide knots by Y. Yamada.
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 International Workshop on Real and Complex Singularities (7th : 2002 : Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo)
 Providence, R.I. : American Mathematical Society, c2004.
 Description
 Book — xii, 324 p. : ill. ; 26 cm.
 Summary

 Zero curves of families of curve congruences by J. W. Bruce, G. J. Fletcher, and F. Tari Hypersurface complements, Alexander modules and monodromy by A. Dimca and A. Nemethi Invariance of the diagonal contribution in a bitangency formula by D. Dreibelbis Bounds on leaves of foliations of the plane by E. Esteves and S. L. Kleiman Calculation of Thom polynomials and other cohomological obstructions for group actions by L. Feher and R. Rimanyi On the bilipschitz triviality of families of real maps by A. C. G. Fernandes and C. H. Soares, Jr. A note on the path formulation for $(\mathbb{O}(2), \mathbb{SO}(2))$forced symmetry breaking bifurcation by J.E. Furter and A. M. Sitta Polar methods, invariants of pairs of modules and equisingularity by T. Gaffney Stability of equilibria in equations of HodgkinHuxley type by I. S. Labouriau and C. M. S. G. Rito Isolated nonnormal crossings by A. Libgober Invariants of normal surface singularities by A. Nemethi Families of pairs of Hamiltonian vector fields in the plane by R. D. S. Oliveira Topology of unfoldings of singularities in the $E, Z$ and $Q$ series by A. A. du Plessis and C. T. C. Wall Semiumbilics and geometrical dynamics on surfaces in 4spaces by M. C. RomeroFuster On the vanishing cycles of a meromorphic function on the complement of its poles by D. Siersma and M. Tibar Some adjacencies to cusp singularities by J. Stevens Elimination of singularities by cobordism by A. Szucs.
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QA614.58 .I527 2002  Available 
 Sapporo, Japan : Dept. of Mathematics, Hokkaido University, [2003]
 Description
 Book — 290 p. ; 30 cm
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135276  Available 
 International Workshop on Real and Complex Singularities (6th : 2000 : São Carlos, São Paulo, Brazil)
 New York : Marcel Dekker, c2003.
 Description
 Book — viii, 326 p. : ill. ; 26 cm.
 Summary

 Irreducible plane curve singularities, Abramo Hefez
 openness and multitransversality, C.T.C. wall
 the distribution A and the real asymptotic spectrum, Daniel Barlet and Ahmed Jeddi
 deformations of boundary singularities and noncrystallographic Coxeter Groups, Ina Scherbak
 transversal Whitney topology and singularities of Haefliger Foliations, Shyuchi Izumiya and Kunihide Maruyama
 on a Conjecture of Chisini for coverings of the Plane with ADEsingularities, Valentine S. Kulikov
 not all codimension 1 germs have good real pictures, David Mond and Roberta G. Wik Atique
 on the topology of hypersurface singularities, Jose Seade
 polar multiplicities and equisingularity of map germs from C3 to C4, Victor Hugo Jorge Perez
 topological invariants of stable maps from a surface to the plane from a global viewpoint, D. Hacon, C. Mendez de Jesus, and M.C. Romero Fuster
 cubics in R and C, Radmila Bulajich, Leon Kushner, and Santiago Lopez de Medrano
 indices of Newton nondegenerate vector fields and a conjecture of Loewner for surfaces in R4, Carlo Gutierrez and Maria Aparecida Soares Ruas
 generic singularities of Hdirections, Luis Fernando O. Mello
 vertices of curves on constant curvature manifolds, Claudia C. Pasonato and Sueli I.R. Costa
 projections of hypersurfaces in R4 to planes, Ana Claudia Nabarro
 Frobenius manifolds and hypersurface singularities, Claus Hertling.
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16. Singularities  Sapporo 1998 [2000]
 Tokyo, Japan : Published for the Mathematical Society of Japan by Kinokuniya, c2000.
 Description
 Book — 322 p. : ill. ; 24 cm.
 Summary

 Weighted ChernMather classes and Milnor classes of hypersurfaces by P. Aluffi Cobordism of nonspherical knots by V. Blanloeil From Chern classes to Milnor classes
 A history of characteristic classes for singular varieties by J.P. Brasselet Remarks on bivariant constructible functions by J.P. Brasselet and S. Yokura Constructibilite de l'ideal de Bernstein by J. Briancon, P. Maisonobe, and M. Merle Assigned base conditions and geometry of foliations on the projective plane by A. Campillo and J. Olivares Generalized Enriques diagrams and characteristic cones by G. GonzalezSprinberg The quotients of logcanonical singularities by finite groups by S. Ishii Geometry of complex surface singularities by L. D. Trang A ChernWeil theory for Milnor classes by D. Lehmann The Milnor fiber as a virtual motive by F. Loeser Elementary topology of stratified mappings by I. Nakai Geometry of cuspidal sextics and their dual curves by M. Oka Characteristic classes of coherent sheaves on singular varieties by T. Suwa Local types of singularities of plane curves and the topology of their complements by H. Tokunaga Program List of participants.
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QA1 .A3 V.29  Unknown 
 Providence, RI : American Mathematical Society, c2000.
 Description
 Book — xi, 187 p. : ill. ; 26 cm.
 Summary

 Factoring the Jacobian by S. S. Abhyankar and A. Assi Weak normalization and weak subintegral closure by M. A. Vitulli Integral dependence and weak subintegrality by L. G. Roberts Singularities and directsum decompositions by R. Wiegand Valuations in algebra and geometry by S. D. Cutkosky Simultaneous resolution of equisingular quasiordinary singularities by C. Ban and L. J. McEwan Singlestep combinatorial resolution via coherent sheaves of ideals by C. G. Melles and P. Milman Resolution graphs of some surface singularities, I. (Cyclic coverings) by A. Nemethi Resolution graphs of some surface singularities, II. (Generalized Iomdin series) by A. Nemethi and A. Szilard Inequalities for spectral distributions of curve singularities by L. J. McEwan Isolated singularities with large Hochschild homology by R. I. Michler Milnor classes via polar varieties by J.P. Brasselet.
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QA614.58 .S5552 2000  Available 
 European Singularities Conference (1996 : Liverpool, England)
 New York : Cambridge University Press, 1999.
 Description
 Book — 440 p.
 Summary

 Part I. Complex Singularities: 1. Singularities arising from lattice polytopes K. Altmann
 2. Critical points of affine multiforms on the complement of arrangements J. N. Damon
 3. Strange duality, mirror symmetry and the Leech lattice W. Ebeling
 4. Geometry of equisingular families of curves G.M. Greuel and E. Shustin
 5. Arrangements, KZ systems and Lie algebra homology E. J. N. Looijenga
 6. The signature of f(x, y) +zN A. Nemethi
 7. Spectra of Kunimodal isolated singularities of complete intersections J. M. Steenbrink
 8. Dynkin graphs, Gabrielov graphs and triangle singularities T. Urabe
 Part II. Stratifications and Equisingularity Theory: 9. Differential forms on singular varieties and cyclic homology J. P. Brasselet and Y. Legrand
 10. Continuous controlled vector fields A. A. du Plessis
 11. Finiteness of Mather's canonical stratification A. A. du Plessis
 12. Trends in equisingularity theory T. J. Gaffney and D. Massey
 13. Regularity at infinity of real and complex polynomial maps M. Tibar
 Part III. Global Singularity Theory: 14. A Bennequin number estimate for transverse knots V. V. Goryunov and J. W. Hill
 15. Abelian covers of the projective plane A. Libgober
 16. Elimination of singularities: Thom polynomials and beyond O. Saeki and K. Sukuma
 Part IV. Singularities of Mappings: 17. An introduction to the imagecomputing spectral sequence K. A. Houston
 18. On the classification and geometry of Corank 1 mapgerms from 3space to 4space K. A. Houston and N. P. Kirk
 19. Multiplicities of zeroschemes in quasihomogeneous Corank1 singularities W. L. Marar, J. A. Montaldi and M. A. S. Ruas
 20. Butterflies and umbilics of stable perturbations of analytic mapgerms C5,0 C4,0 T. Fukui
 Part V. Applications of Singularity Theory: 21. Singular phenomena in kinematics P. S. Donelan and C. G. Gibson
 22. Singularities of developable surfaces G. Ishikawa
 23. Singularities of solutions for first order partial differential equations S. Izumiya.
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QA614.58 .E88 1996  Available 
 Basel ; Boston : Birkhäuser Verlag, c1998.
 Description
 Book — xxv, 458 p. : ill. ; 24 cm.
 Summary

 Classification and invariants
 deformation theory
 resolution
 applications.
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QA614.58 .S5557 1998  Available 
20. Singularities : Lille, 1991 [1994]
 Cambridge ; New York : Cambridge University Press, 1994.
 Description
 Book — xvi, 419 p. ; 23 cm.
 Summary

 1. On complex projective hypersurfaces which are homologyPn's G. Barthel and A. Dimca
 2. Generic geometry and duality J. W. Bruce
 3. An arithmetic factorization for the critical point set of some map germs F. Delgado
 4. Trivialisations of stratified spaces with bounded differential M. Ferrarotti
 5. Moduli for singularities G. M. Greuel and G. Pfister
 6. Conormal spaces and Jacobian modules J. P. Henry and M. Merle
 7. Weak Lefschetz and topological qcompleteness L. Kaup
 8. Volumes and lattice points B. Lichtin
 9. Connexions meromorphes B. Malgrange
 10. Deformations of maps on complete intersections D. Mond and J. Montaldi
 11. Cycles evanescents et faiseaux pervers II L. NarvaezMacarro
 12. A desingularization theorem for systems of microdifferential equations O. Neto
 13. Topological stability A. Du Plessis and C. T. C. Wall
 14. Boundary fronts and caustics and their metamorphoses I. Scherback
 15. Quid des stratifications canoniques R. Thom
 16. Irregularite des revetements cycliques M. Vaquie.
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QA564 .S52 1994  Available 
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