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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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.

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Source:Copyright of this article belongs to Springer-Verlag.
ID Code:21495
Deposited On:22 Nov 2010 11:16
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