Examples of Stability of Tensor Products in Positive Characteristic
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Let X be projective smooth variety over an algebraically closed field k and let ℰ, ℱ be μ-semistable locally free sheaves on X.
When the base field is ℂ, using transcendental methods, one can prove that the tensor product ℰ⊗ℱ is always a μ-semistable sheaf.
However, this theorem is no longer true over positive characteristic; for an analogous theorem one needs the hypothesis of strong μ-semistability; nevertheless, this hypothesis is not a necessary condition.
The objective of this paper is to construct, without the strongly μ-semistability hypothesis, a family of locally free sheaves with μ-stable tensor product.
American Psychological Association (APA)
Argáez, A. S.. 2011. Examples of Stability of Tensor Products in Positive Characteristic. ISRN Algebra،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-489040
Modern Language Association (MLA)
Argáez, A. S.. Examples of Stability of Tensor Products in Positive Characteristic. ISRN Algebra No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-489040
American Medical Association (AMA)
Argáez, A. S.. Examples of Stability of Tensor Products in Positive Characteristic. ISRN Algebra. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-489040
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489040