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.

引用

页码：3373 / 3396

页数：24

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