Maps between curves and arithmetic obstructions
Number Theory
2019-11-26 v1 Algebraic Geometry
Abstract
Let X and Y be curves over a finite field. In this article we explore methods to determine whether there is a rational map from Y to X by considering L-functions of certain covers of X and Y and propose a specific family of covers to address the special case of determining when X and Y are isomorphic. We also discuss an application to factoring polynomials over finite fields.
Keywords
Cite
@article{arxiv.1709.05734,
title = {Maps between curves and arithmetic obstructions},
author = {Andrew V. Sutherland and Jose Felipe Voloch},
journal= {arXiv preprint arXiv:1709.05734},
year = {2019}
}
Comments
8 pages