On Lang's conjecture for surfaces of general type

被引：0

作者：

Kang, CX ^{[1
]}

机构：

[1] Univ Texas, Odessa, Ukraine

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 02期

关键词：

rational curves; general type varieties; BMY inequality;

D O I：

10.1081/AGB-120017351

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let m be a nonnegative integer. We explicitly bound the number of rational curves with arithmetic genus no greater than m on a surface of general type by geometric invariants of the surface. We also briefly discuss the possibility of bounding all rational curves. lying on, a surface of general type in IP3.

引用

页码：945 / 957

页数：13

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