Direct images of bundles under Frobenius morphism

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	Direct images of bundles under Frobenius morphism
	Sun, Xiaotao
	2008-08-01
发表期刊	INVENTIONES MATHEMATICAE
ISSN	0020-9910
卷号	173 期号:2 页码:427-447
摘要	Let X be a smooth projective variety of dimension n over an algebraically closed field k with char(k)=p > 0 and F : X -> X (1) be the relative Frobenius morphism. For any vector bundle W on X, we prove that instability of F () W is bounded by instability of W circle times T-l (Omega(1)(X) ) (O <= l <= n(p-1)) (Corollary 4.9). When X is a smooth projective curve of genus g >= 2, it implies F () W being stable whenever W is stable.
DOI	10.1007/s00222-008-0125-y
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000256911300006
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5415
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. Direct images of bundles under Frobenius morphism[J]. INVENTIONES MATHEMATICAE,2008,173(2):427-447.
APA	Sun, Xiaotao.(2008).Direct images of bundles under Frobenius morphism.INVENTIONES MATHEMATICAE,173(2),427-447.
MLA	Sun, Xiaotao."Direct images of bundles under Frobenius morphism".INVENTIONES MATHEMATICAE 173.2(2008):427-447.