Algebraic curves and their applications

Description

This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more. Papers cover topics such as the rational torsion points of elliptic curves, arithmetic statistics in the moduli space of curves, combinatorial descriptions of semistable hyperelliptic curves over local fields, heights on weighted projective spaces, automorphism groups of curves, h.  Read more... Families of elliptic curves with rational torsion points of even order / Boris M. Bekker and Yuri G. Zarhin -- The weighted moduli space of binary sextics / Lubjana Beshaj and Scott Guest -- A family of nonnormal double planes associated to hyperelliptic curves / Timothy J. Ford -- On the discriminant of certain quadrinomials / Shuichi Otake and Tony Shaska -- Semistable types of hyperelliptic curves / Tim Dokchitser, Vladimir Dokchitser, Céline Maistret and Adam Morgan -- Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function / Andrew R. Stout -- Computing heights on weighted projective spaces / Jorgo Mandili and Tony Shaska -- On hyperelliptic curves of genus 3 / L. Beshaj and M. Polak -- On automorphisms of algebraic curves / A. Broughton, T. Shaska and A. Wootton -- On the algebraic classification of subgroups of hyperbolic planar crystallographic groups / Ismael Cortázar and Antonio F. Costa -- On regular dessins d'enfants with 4g automorphisms and a curve of Wiman / Emilio Bujalance, Marston D. E. Conder, Antonio F. Costa and Milagros Izquierdo -- An explicit descent of real algebraic varieties / Rubén A. Hidalgo -- Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study / E. Previato -- Quasi-quadratic residue codes and hyperelliptic curves / Nigel Boston and Jing Hao -- Curves, Jacobians, and cryptography / Gerhard Frey and Tony Shaska