Maps between curves and arithmetic obstructions

被引：4
|
作者：
Sutherland, Andrew V. [1 ]
Voloch, Jose Felipe [2 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
[2] Univ Canterbury, Sch Math & Stat, Private Bag 4800, Christchurch 8140, New Zealand
来源：
ARITHMETIC GEOMETRY: COMPUTATION AND APPLICATIONS | 2019年 / 722卷
基金：
美国国家科学基金会;
关键词：
HASSE-WITT MATRICES; HYPERELLIPTIC CURVES; FUNCTION-FIELDS;
D O I：
10.1090/conm/722/14532
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：167 / 175
页数：9
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