Stability of sheaves of locally closed and exact forms
文献类型：期刊论文
| 作者 | Sun, Xiaotao |
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 2010-10-01 |
| 卷号 | 324期号:7页码:1471-1482 |
| 关键词 | Frobenius Stable bundles Locally exact differential forms |
| ISSN号 | 0021-8693 |
| DOI | 10.1016/j.jalgebra.2010.06.026 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000281835900002 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11113]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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