Monads on projective spaces

Mohan Kumar, N. ; Peterson, Chris ; Prabhakar Rao, A. (2003) Monads on projective spaces Manuscripta Mathematica, 112 (2). pp. 183-189. ISSN 0025-2611

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Official URL: http://www.springerlink.com/content/qtlbaq0jbj00fx...

Related URL: http://dx.doi.org/10.1007/s00229-003-0389-x

Abstract

Let Ε be a vector bundle on P n. There is a strong relationship between Ε and its intermediate cohomology modules. In the case where Ε has low rank, we exploit this relationship to provide various splitting criteria for Ε. In particular, we give a splitting criterion for Ε in terms of the vanishing of certain intermediate cohomology modules. We also show that the Horrocks-Mumford bundle is the only non-split rank two bundle on P4 with a Buchsbaum second cohomology module.

Item Type:Article
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ID Code:21495
Deposited On:22 Nov 2010 11:16
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