Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-17T19:58:19.815Z Has data issue: false hasContentIssue false
  • English
  • Français

Unstable planes for rank 2 reflexive sheaves

Published online by Cambridge University Press:  14 November 2011

Rosa M. Miró-Roig
Rosa M. Miró-Roig
Affiliation:
Departament d'Algebra i Fonaments, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain
Get access Rights & Permissions [Opens in a new window]

Synopsis

The purpose of this paper is to give a sharp bound for the order of instability of an unstable hyperplane of a rank 2 stable reflexive sheaf E on ℙn, in terras of the Chern classes of E; and a sharp boundfor the order of instability of an unstable hyperplane of a rank 2 nonstable reflexive sheaf E on ℙn, in terms of the Chern classes of E and the order of nonstability of E.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 161 - 166
Copyright
Copyright © Royal Society of Edinburgh 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Barth, W.. Some properties of stable rank 2 vector bundles on ℙn. Math. Ann. 226 (1977), 125–150.CrossRefGoogle Scholar
2Chang, M. C.. Stable rank 2 reflexive sheaves with smaller c 2 on ℙ3 and applications. Trans. Amer. Math. Soc. 590 (1984), 53–72.Google Scholar
3Chang, M. C.. Stable rank 2 reflexive sheaves on ℙ3 with large c 3. Crelle J. 343 (1983), 99–107.Google Scholar
4Hartshorne, R.. Stable reflexive sheaves. Math. Ann. 254 (1980), 121–176.CrossRefGoogle Scholar
5Miró-Roig, R. M.. Gaps in Chern classes of rank 2 stable reflexive sheaves. Math. Ann. 270 (1985), 317–323.CrossRefGoogle Scholar
6Miró-Roig, R. M.. Chern classes of rank 2 reflexive sheaves. J. London Math. Soc. (2) 33 (1986), 421–429.CrossRefGoogle Scholar
7Miró-Roig, R. M.. Some moduli spaces (preprint, 1984, University of Barcelona, Spain).Google Scholar
8Sauer, T.. Nonstable reflexive sheaves on ℙ3. Trans. Amer. Math. Soc. 281 (1984), 633–655.Google Scholar
9Takemoto, F.. Stable vector bundles on algebraic surfaces. Nagoya Math. J. 47 (1972), 29–48.CrossRefGoogle Scholar