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). |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论