A few splitting theorems for rank 2 vector bundles on P4

Roggero, Margherita and Valabrega, Paolo (2005) A few splitting theorems for rank 2 vector bundles on P4. Atti della Accademia Peloritana dei Pericolanti - Classe di Scienze MM.FF.NN., LXXXIII (1). ISSN 1825-1242

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Abstract

The paper investigates vanishing conditions on the intermediate cohomology of a normalized rank 2 vector bundle on which force to split or, at least, to be a non-stable bundle (with few possible exceptions). The results are applied to see when subcanonical surfaces in are forced to be complete intersections of two hypersurfaces, since subcanonical surfaces are zero loci of non-zero sections of rank vector bundles.

Item Type: Article
Subjects: M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User: Mr Nunzio Femminò
Date Deposited: 25 Nov 2009
Last Modified: 13 Apr 2010 11:15
URI: http://cab.unime.it/mus/id/eprint/519

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