ELLIPTIC-CURVES ON ABELIAN SURFACES

被引：35

作者：

KANI, E

机构：

[1] Department of Mathematics and Statistics, Queen's University, Kingston, K7L 3N6, Ontario

来源：

MANUSCRIPTA MATHEMATICA | 1994年 / 84卷 / 02期

关键词：

D O I：

10.1007/BF02567454

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to present two theorems which give an overview of the set of elliptic curves lying on an abelian surface and to discuss several applications. One of these applications is a classical theorem of Biermann (1883) and Humbert (1893) on the characterization of abelian surfaces containing elliptic curves in terms of the ''singular relations'' of Humbert. As a by-product one obtains a purely algebraic description of such relations and hence also of Humbert surfaces.

引用

页码：199 / 223

页数：25