ON THE DISCRIMINANT OF A HYPERELLIPTIC CURVE

被引：66

作者：

LOCKHART, P

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 342卷 / 02期

关键词：

HYPERELLIPTIC; DISCRIMINANT;

D O I：

10.2307/2154650

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The minimal discriminant of a hyperelliptic curve is defined and used to generalize much of the arithmetic theory of elliptic curves. Over number fieldS this leads to a higher genus version of Szpiro's Conjecture. Analytically, the discriminant is shown to be related to Siegel modular forms of higher degree.

引用

页码：729 / 752

页数：24