ARITHMETIC AND GEOMETRY OF RATIONAL ELLIPTIC SURFACES

被引：1
|
作者：
Salgado, Cecilia [1 ]
机构：
[1] Univ Fed Rio de Janeiro, BR-21941909 Rio De Janeiro, Brazil
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2016年 / 46卷 / 06期
关键词：
Elliptic surfaces; minimal models over arbitrary fields; elliptic fibrations;
D O I：
10.1216/RMJ-2016-46-6-2061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let epsilon be a rational elliptic surface over a number field k. We study the interplay between a geometric property, the configuration of its singular fibers, and arithmetic features such as its Mordell-Weil rank over the base field and its possible minimal models over k.
引用
收藏
页码：2061 / 2076
页数：16
相关论文
共 50 条
12345