Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Häftad, Engelska, 2018

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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.

Produktinformation

Utgivningsdatum2018-04-30
Mått178 x 254 x undefined mm
Vikt338 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor222
FörlagAmerican Mathematical Society
ISBN9781470428563

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J. Russell and A. Wootton, A lower bound for the number of finitely maximal $C_p$-actions on a compact oriented surfaceS. A. Broughton, Galois action on regular dessins d'enfant with simple group actionD. Swinarski, Equations of Riemann surfaces with automorphismsR. Hidalgo and T. Shaska, On the field of moduli of superelliptic curvesL. Beshaj, Minimal integral Weierstrass equations for genus 2 curvesL. Beshaj, R. Hidalgo, S. Kruk, A. Malmendier, S. Quispe, and T. Shaska, Rational points in the moduli space of genus twoC. Magyar and U. Whitcher, Strong arithmetic mirror symmetry and toric isogeniesA. Kumar and M. Kuwata, Inose's construction and elliptic $K$3 surfaces with Mordell-Weil rank 15 revisitedC. M. Shor, Higher-order Weierstrass weights of branch points on superelliptic curvesE. Previato, Poncelet's porism and projective fibrationsA. Levin, Extending Runge's method for integral pointsD. Joyner and T. Shaska, Self-inversive polynomials, curves, and codesA. Deopurkar and A. Patel, Syzygy divisors on Hurwitz spaces.