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Maps between curves and arithmetic obstructions

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 نشر من قبل Andrew Sutherland
 تاريخ النشر 2017
  مجال البحث
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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.



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