Maps between curves and arithmetic obstructions
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Journal Article
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Publisher
Journal Title
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Date
2017
Authors
Sutherland AV
Voloch JF
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.
Description
Citation
Sutherland AV, Voloch JF (2017). Maps between curves and arithmetic obstructions.
Keywords
math.NT, math.NT, math.AG, 14H25 (Primary) 14G30, 14G10, 11G20 (Secondary)
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490402 - Algebraic and differential geometry