Stability of sheaves of locally closed and exact forms

doi:10.1016/j.jalgebra.2010.06.026

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	Stability of sheaves of locally closed and exact forms
	Sun, Xiaotao
	2010-10-01
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	324 期号:7 页码:1471-1482
摘要	For any smooth projective variety X of dimension n over an algebraically closed field k of characteristic p > 0 with mu(Omega(1)(x)) > 0, if the truncated symmetric powers T(l)(Omega(1)(x)) (0 < l < N(p - 1)) of Omega(1)(x) are semi-stable, then the sheaf B(x)(1) of exact 1-forms is stable. When X is a surface with mu(Omega(1)(x)) > 0 and Omega(1)(x) is semi-stable, the sheaf 14 of exact 2-forms is also stable. Moreover, under the same condition, the sheaf 4 of closed 1-forms is stable when p > 3, and 4 is semi-stable when p > 3. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Frobenius Stable bundles Locally exact differential forms
DOI	10.1016/j.jalgebra.2010.06.026
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000281835900002
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11114
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Xiaotao
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Sun, Xiaotao. Stability of sheaves of locally closed and exact forms[J]. JOURNAL OF ALGEBRA,2010,324(7):1471-1482.
APA	Sun, Xiaotao.(2010).Stability of sheaves of locally closed and exact forms.JOURNAL OF ALGEBRA,324(7),1471-1482.
MLA	Sun, Xiaotao."Stability of sheaves of locally closed and exact forms".JOURNAL OF ALGEBRA 324.7(2010):1471-1482.