Non-vanishing theorems for non-split rank 2 bundles on P^3: A simple approach
| Autor: | Valabrega, P., Valenzano, Mario |
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| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | AAPP | Physical, Mathematical, and Natural Sciences; Vol 87, No 1 (2009) Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matematiche e Naturali; Vol 87, No 1 (2009) Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol LXXXVII, Iss 1, p C1A0901002 (2009) |
| ISSN: | 1825-1242 0365-0359 |
| Popis: | The paper investigates vanishing conditions on the first cohomology module of a normalized rank 2 vector bundle on P3 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, Barth’s restriction theorem, the discriminat property, and other heavy tools. |
| Databáze: | OpenAIRE |
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