Endomorphisms of elliptic curves and undecidability in function fields of positive characteristic

被引：6

作者：

Pheidas, T ^{[1
]}

机构：

[1] Univ Crete, Dept Math, Iraklion 71409, Greece

来源：

JOURNAL OF ALGEBRA | 2004年 / 273卷 / 01期

关键词：

decidability; rational function fields; elliptic curves;

D O I：

10.1016/j.jalgebra.2003.07.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the theory of elliptic curves, we develop techniques by which we prove that the theory of a function field F(t) of positive characteristic p greater than or equal to 5, in the language of rings augmented by a symbol for t, is undecidable. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：395 / 411

页数：17

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