Higher genus curves in mathematical physics and arithmetic geometry : AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, January 8, 2016, Seattle, Washington
 Responsibility
 Andreas Malmendier, Tony Shaska, editors.
 Publication
 [Providence, Rhode Island] : American Mathematical Society, [2018]
 Physical description
 vii, 222 pages ; 26 cm.
 Series
 Contemporary mathematics (American Mathematical Society) ; v. 703.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA242.5 .A4827 2016  Unknown 
More options
Creators/Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 J. Russell and A. Wootton, A lower bound for the number of finitely maximal $C_p$actions on a compact oriented surface S. A. Broughton, Galois action on regular dessins d'enfant with simple group action D. Swinarski, Equations of Riemann surfaces with automorphisms R. Hidalgo and T. Shaska, On the field of moduli of superelliptic curves L. Beshaj, Minimal integral Weierstrass equations for genus 2 curves L. Beshaj, R. Hidalgo, S. Kruk, A. Malmendier, S. Quispe, and T. Shaska, Rational points in the moduli space of genus two C. Magyar and U. Whitcher, Strong arithmetic mirror symmetry and toric isogenies A. Kumar and M. Kuwata, Inose's construction and elliptic $K$3 surfaces with MordellWeil rank 15 revisited C. M. Shor, Higherorder Weierstrass weights of branch points on superelliptic curves E. Previato, Poncelet's porism and projective fibrations A. Levin, Extending Runge's method for integral points D. Joyner and T. Shaska, Selfinversive polynomials, curves, and codes A. Deopurkar and A. Patel, Syzygy divisors on Hurwitz spaces.
 (source: Nielsen Book Data)9781470428563 20180813
 Publisher's Summary
 This volume contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both mathematical physics and arithmetic geometry. This volume focuses on the role of higher genus curves; in particular, hyperelliptic and superelliptic curves in algebraic geometry and mathematical physics. The articles in this volume investigate the automorphism groups of curves and superelliptic curves and results regarding integral points on curves and their applications in mirror symmetry. Moreover, geometric subjects are addressed, such as elliptic $K$3 surfaces over the rationals, the birational type of Hurwitz spaces, and links between projective geometry and abelian functions.
(source: Nielsen Book Data)9781470428563 20180813
Subjects
 Subject
 Arithmetical algebraic geometry > Congresses.
 Mathematical physics > Congresses.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  Curves of arbitrary genus or genus $\ne 1$ over global fields.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  Heights.
 Number theory  Arithmetic algebraic geometry (Diophantine geometry)  Arithmetic mirror symmetry.
 Algebraic geometry  Surfaces and higherdimensional varieties  Elliptic surfaces.
 Algebraic geometry  Surfaces and higherdimensional varieties  $K3$ surfaces and Enriques surfaces.
 Algebraic geometry  Curves  Jacobians, Prym varieties.
 Algebraic geometry  Curves  Special curves and curves of low genus.
 Algebraic geometry  Curves  Elliptic curves.
 Algebraic geometry  Curves  Riemann surfaces; Weierstrass points; gap sequences.
 Arithmetical algebraic geometry.
 Mathematical physics.
Bibliographic information
 Publication date
 2018
 Series
 Contemporary Mathematics ; 703
 ISBN
 9781470428563 paperback
 1470428563 paperback