INEQUALITIES BETWEEN THE CHERN NUMBERS OF A SINGULAR FIBER IN A FAMILY OF ALGEBRAIC CURVES

被引：0
|
作者：
Lu, Jun [1 ]
Tan, Sheng-Li [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 07期
关键词：
Chern number; singular fiber; modular invariant; isotrivial; classification; BASE CHANGES; PENCILS; CLASSIFICATION; INVARIANTS; SURFACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a family of curves, the Chern numbers of a singular fiber are the local contributions to the Chern numbers of the total space. We will give some inequalities between the Chern numbers of a singular fiber as well as their lower and upper bounds. We introduce the dual fiber of a singular fiber, and prove a duality theorem. As an application, we will classify singular fibers with large or small Chern numbers.
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页码：3373 / 3396
页数：24
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