The paper investigates vanishing conditions on the first cohomology module of a normalized rank $2$ vector bundle $\shE$ on $\PP^3$ which force $\shE$ 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, Barth's restriction theorem, the discriminat property, and other heavy tools.

NON-VANISHING THEOREMS FOR NON-SPLIT RANK 2 Vector Bundles on P3:a Simple Approach, Atti / Valabrega, Paolo. - In: ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI. - ISSN 0365-0359. - LXXXVII:(2009).

NON-VANISHING THEOREMS FOR NON-SPLIT RANK 2 Vector Bundles on P3:a Simple Approach, Atti

VALABREGA, Paolo
2009

Abstract

The paper investigates vanishing conditions on the first cohomology module of a normalized rank $2$ vector bundle $\shE$ on $\PP^3$ which force $\shE$ 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, Barth's restriction theorem, the discriminat property, and other heavy tools.
File in questo prodotto:
File Dimensione Formato  
[DOI 10.1478:c1a0901002] Non-vanishing theorems for non-split rank 2 bundles on P^3 A simple approach.pdf

non disponibili

Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 263.89 kB
Formato Adobe PDF
263.89 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/1916300
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo