Hostname: page-component-74656f9884-g96k6 Total loading time: 0 Render date: 2026-11-09T18:07:15.064Z Has data issue: false hasContentIssue false
  • English
  • Français

Generalized null correlation bundles

Published online by Cambridge University Press:  22 January 2016

Lawrence Ein
Lawrence Ein*
Affiliation:
Department of Math., Stat., Comp. Sci., University of Illinois at Chicago, Chicago, Illinois 60680, U.S.A.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

It is well known that the moduli space of stable rank 2 vector bundles on ℙ2 of the fixed topological type is an irreducible smooth variety ([1], and [8]). There are also many known results on the classification of stable rank 2 vector bundles on ℙ3 with “small” Chern classes.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 111 , September 1988 , pp. 13 - 24
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

[1] Barth, W., Moduli of vector bundles on the projective plane, Invent. Math., 42 (1977), 63–91.CrossRefGoogle Scholar
[2] Barth, W., Some properties of stable rank 2 bundles on ℙn , Math. Ann., 226 (1977), 125–150.CrossRefGoogle Scholar
[3] Barth, W. and Hulek, K., Monads and moduli of vector bundles, Manuscripta Math., 25 (1978), 323–347.Google Scholar
[4] Ellingsrud, G. and Stromme, S., Stable vector bundles of rank 2 on ℙ3, with c1 = 0 and c 2 = 3, Math. Ann., 255 (1981), 123–135.Google Scholar
[5] Hartshorne, R., Stable vector bundles of rank 2 on ℙ3 Math. Ann., 238 (1978), 229–280.CrossRefGoogle Scholar
[6] Hartshorne, R., Stable reflexive sheaves, Math. Ann., 254 (1980), 121–176.Google Scholar
[7] Horrocks, G., Vector bundles on the punctured spectrum of a local ring, Proc. London Math. Soc., 3 (1964), 689–713.Google Scholar
[8] Maruyama, M., Moduli of stable sheaves I, J. Math. Kyoto, 18 (1978), 557–614.Google Scholar
[9] Rao, P., A note on cohomology modules of rank 2 bundles, J. of Algebra, 86 (1984), 23–34.CrossRefGoogle Scholar