DIOPHANTINE UNDECIDABILITY OF C(T1,T2)

被引：34
|
作者：
KIM, KH
ROUSH, FW
机构：
[1] Mathematics Research Group, Alabama State University, Montgomery
来源：
JOURNAL OF ALGEBRA | 1992年 / 150卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/S0021-8693(05)80047-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a short proof that the Diophantine theory of the complex function field C(t1, t2) where ti are algebraically independent over the complex numbers, in the language {+, ×, t1, t2, 0, 1} is undecidable. We construct a model of (Z, +, ×) represented by isogenies of an elliptic curve. © 1992 Academic Press, Inc.
引用
收藏
页码：35 / 44
页数：10
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