ACI Books & Book Chapters

Algebraic Curves and Their Applications


Algebraic Curves and Their Applications

Document Type



External Link

Download Full Text

Contributing USMA Research Unit(s)

Army Cyber Institute


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, hyperelliptic curves, dessins d'enfants, applications to Painlevé equations, descent on real algebraic varieties, quadratic residue codes based on hyperelliptic curves, and Abelian varieties and cryptography. This book will be a valuable resource for people interested in algebraic curves and their connections to other branches of mathematics.

Publication Date


Algebraic Curves and Their Applications

Record links to items hosted by external providers may require fee for full-text.