Rational curves on elliptic K3 surfaces

被引：0

作者：

Tayou, Salim ^{[1
]}

机构：

[1] Ecole Normale Super, DMA, 45 Rue Ulm, F-75005 Paris, France

来源：

MATHEMATICAL RESEARCH LETTERS | 2020年 / 27卷 / 04期

基金：

欧洲研究理事会;

关键词：

POINTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any non-isotrivial elliptic K3 surface over an algebraically closed field k of arbitrary characteristic contains infinitely many rational curves. In the case when char(k) not equal 2, 3, we prove this result for any elliptic K3 surface. When the characteristic of k is zero, this result is due to the work of Bogomolov-Tschinkel and Hassett.

引用

页码：1237 / 1247

页数：11

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