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

页码：2061 / 2076

页数：16

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