Description
Book SynopsisContains 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.
Table of Contents
- B. M. Bekker and Y. G. Zarhin, Families of elliptic curves with rational torsion points of even order
- L. Beshaj and S. Guest, The weighted moduli space of binary sextics
- T. J. Ford, A family of nonnormal double planes associated to hyperelliptic curves
- S. Otake and T. Shaska, On the discriminant of a certain quadrinomials
- T. Dokchitser, V. Dokchitser, C. Maistret, and A. Morgan, Semistable types of hyperellitpic curves
- A. R. Stout, Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function
- J. Mandili and T. Shaska, Computing heights on weighted projective spaces
- L. Beshaj and M. Polak, On hyperelliptic curves of genus 3
- A. Broughton, T. Shaska, and A. Wootton, On automorphisms of algebraic curves
- I. Cortazar and A. F. Costa, On the algebraic classification of subgroups of hyperbolic planar crystallographic groups
- E. Bujalance, M. D. E. Conder, A. F. Costa, and M. Izquierdo, On regular dessins d'enfants with 4$g$ automrophisms and a curve of Wiman
- R. A. Hidalgo, An explicit descent of real algebraic varieties
- E. Previato, Curves in isomonodromy and isospectral deformations: Painleve VI as a case study
- N. Boston and J. Hao, Quasi-quadratic residue codes and hyperelliptic curves
- G. Frey and T. Shaska, Curves, Jacobians, and cryptography