Remarks on semistability of G-bundles in positive characteristic

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	Remarks on semistability of G-bundles in positive characteristic
	Sun, X
	1999-10-01
发表期刊	COMPOSITIO MATHEMATICA
ISSN	0010-437X
卷号	119 期号:1 页码:41-52
摘要	We analyzes a notion of strong semistability of principal G-bundles by including reduction to nonreduced parabolic subgroup schemes. It turns out that strong semistability is equivalent to the Frobenius semistability of Ramanan and Rananathan. We also give a bound for nonstrongly semsitability of a semistable GL(n)-bundle improving a previous result of Shepherd-Barron.
关键词	G-bundle strong semistability Frobenius canonical reduction
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000082463300003
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14826
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, X
作者单位	Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, X. Remarks on semistability of G-bundles in positive characteristic[J]. COMPOSITIO MATHEMATICA,1999,119(1):41-52.
APA	Sun, X.(1999).Remarks on semistability of G-bundles in positive characteristic.COMPOSITIO MATHEMATICA,119(1),41-52.
MLA	Sun, X."Remarks on semistability of G-bundles in positive characteristic".COMPOSITIO MATHEMATICA 119.1(1999):41-52.