Instability of truncated symmetric powers of sheaves

CORC > 厦门大学 > 数学科学－已发表论文

	Instability of truncated symmetric powers of sheaves
	Li, Lingguang ; Yu, Fei ; Yu F(于飞)
刊名	http://dx.doi.org/10.1016/j.jalgebra.2013.03.027
	2013
关键词	DIRECT IMAGES VECTOR-BUNDLES STABILITY CURVE
英文摘要	National Natural Science Foundation [11271275]; Let X be a smooth projective variety of dimension n over an algebraically closed field k of characteristic p > 0. Let F-x : X -> X be the absolute Frobenius morphism, and epsilon a torsion free sheaf on X. We give an upper bound of instability of truncated symmetric powers T-1 (epsilon)(0 <= 1 <= rk(epsilon)(p-1)) in terms of L-max(Omega(1)(x)), I( Omega(1)(x)) and I(epsilon) (Theorem 3.5). As an application, we obtain an upper bound of the instability of Frobenius direct image F-x(epsilon) and some sufficient conditions of F-x(epsilon) being slope semi-stable. In addition, we study the slope (semi)-stability of sheaves of locally exact (resp. closed) forms B-x(i), (resp. Z(x)(i)). (C) 2013 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91263]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Li, Lingguang,Yu, Fei,Yu F. Instability of truncated symmetric powers of sheaves[J]. http://dx.doi.org/10.1016/j.jalgebra.2013.03.027,2013.
APA	Li, Lingguang,Yu, Fei,&于飞.(2013).Instability of truncated symmetric powers of sheaves.http://dx.doi.org/10.1016/j.jalgebra.2013.03.027.
MLA	Li, Lingguang,et al."Instability of truncated symmetric powers of sheaves".http://dx.doi.org/10.1016/j.jalgebra.2013.03.027 (2013).