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
收藏
页码：945 / 957
页数：13
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