There is no Bogomolov type restriction theorem for strong semistability in positive characteristic

被引：10

作者：

Brenner, H ^{[1
]}

机构：

[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-05-07843-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an example of a strongly semistable vector bundle of rank two on the projective plane such that there exist smooth curves of arbitrary high degree with the property that the restriction of the bundle to the curve is not strongly semistable anymore. This shows that a Bogomolov type restriction theorem does not hold for strong semistability in positive characteristic.

引用

页码：1941 / 1947

页数：7