Strict Arakelov-type inequalities for a family of curves

被引：0
|
作者：
Xu, Wan-Yuan [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2024年 / 297卷 / 03期
基金：
中国国家自然科学基金;
关键词：
family of curves; singular fiber; the Arakelov inequality;
D O I：
10.1002/mana.202300204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we prove some strict Arakelov-type inequalities which bound the degree of the pushfoward of the relative pluricanonical sheaf for a family of curves. We give an analogous result in positive characteristic.
引用
收藏
页码：1136 / 1141
页数：6
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