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.
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页码：1237 / 1247
页数：11
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