Non-vanishing theorems for non-split rank 2 bundles on P^3: A simple approach

Valabrega, Paolo and Valenzano, Mario (2009) Non-vanishing theorems for non-split rank 2 bundles on P^3: A simple approach. Atti della Accademia Peloritana dei Pericolanti - Classe di Scienze MM.FF.NN., LXXXVII (1). ISSN 1825-1242

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Abstract

The paper investigates vanishing conditions on the first cohomology module of a normalized rank 2 vector bundle on P^3 which force to split, and finds therefore strategic levels of non-vanishing for a non-split bundle. The present conditions improve other conditions known in the literature and are obtained with simple computations on the Euler characteristic function, avoiding the speciality lemma, BarthÂ’s restriction theorem, the discriminat property, and other heavy tools.

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:	26 Nov 2009
Last Modified:	13 Apr 2010 11:14
URI:	http://cab.unime.it/mus/id/eprint/550

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