Elliptic and hyperelliptic curves over supersimple fields

被引：3
|
作者：
Martin-Pizarro, A [1 ]
Pillay, A [1 ]
机构：
[1] Univ Urbana Champaign, Dept Math, Urbana, IL 61801 USA
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2004年 / 69卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1112/S002461070300499X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that if F is an infinite field with characteristic different from 2, whose theory is supersimple, and C is an elliptic or hyperelliptic curve over F with generic 'modulus', then C has a generic F-rational point. The notion of generity here is in the sense of the supersimple field F.
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页码：1 / 13
页数：13
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