Diophantine undecidability of function fields of characteristic greater than 2, finitely generated over fields algebraic over a finite field

被引：4

作者：

Shlapentokh, A ^{[1
]}

机构：

[1] E Carolina Univ, Dept Math, Greenville, NC 27858 USA

来源：

COMPOSITIO MATHEMATICA | 2002年 / 132卷 / 01期

基金：

美国国家科学基金会;

关键词：

Hilbert's Tenth Problem; diophantine undecidability; function fields of positive characteristic;

D O I：

10.1023/A:1016067603451

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a function field of characteristic p > 2, finitely generated over a field C algebraic over a finite field C-p and such that it has an extension of degree p. Then Hilbert's Tenth Problem is not decidable over F.

引用

页码：99 / 120

页数：22

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