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Full Description
This volume contains the proceedings of the 19th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T), held from June 5 to June 9, 2023, at the Centre International de Rencontres Mathematiques in Luminy (Marseille, France). The conference brought together researchers at the interface of arithmetic and algebraic geometry with computer science and information theory including, in particular, applications to cryptography and error correcting codes. The articles in this volume are based on talks given at the conference. They represent a broad spectrum of research ranging from abstract theory to explicit algorithms, with the majority of articles devoted to curves and abelian varieties over finite fields, their isogenies, and their endomorphisms.
Contents
Yves Aubry, Fabien Herbaut, and Julien Monaldi, Closed points on curves over finite fields; Stephane Ballet, Alexis Bonnecaze, and Bastien Pacifico, Multiplication in finite fields with Chudnovsky-type algorithms over the projective line; Jean-Marc Couveignes and Jean Gasnier, Explicit Riemann-Roch spaces in the Hilbert class field; Kiran S. Kedlaya, The relative class number one problem for function fields, II; Harun Kir, The refined Humbert invariant for an automorphism group of a genus 2 curve; M. Koutchoukali, On the coefficients of the zeta-function's L-polynomial for algebraic function fields over finite fields; Dimitri Koshelev, Generation of two ""independent"" points on an elliptic curve of j-invariant \neq 0,1728; Sergey Rybakov, Principal polarization on products of abelian varieties over finite fields; Yuri G. Zarhin, Superelliptic Jacobians and central simple representations
