Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/16230
Autoria: | Marchesi, S. Marques, P. M. Soares, H. |
Data: | 2018 |
Título próprio: | Monads on projective varieties |
Volume: | 296 |
Número: | 1 |
Paginação: | 155 - 180 |
ISSN: | 0030-8730 |
DOI (Digital Object Identifier): | 10.2140/pjm.2018.296.155 |
Palavras-chave: | Monads ACM varieties |
Resumo: | We generalize Floystad's theorem on the existence of monads on projective space to a larger set of projective varieties. We consider a variety X, a line bundle L on X, and a basepoint-free linear system of sections of L giving a morphism to projective space whose image is either arithmetically Cohen-Macaulay (ACM) or linearly normal and not contained in a quadric. We give necessary and sufficient conditions on integers a, b and c for a monad of type 0 -> (L-v)(a)-> O-X(b) -> L-c -> 0 to exist. We show that under certain conditions there exists a monad whose cohomology sheaf is simple. We furthermore characterize low-rank vector bundles that are the cohomology sheaf of some monad as above. Finally, we obtain an irreducible family of monads over projective space and make a description on how the same method could be used on an ACM smooth projective variety X. We establish the existence of a coarse moduli space of low-rank vector bundles over an odd-dimensional X and show that in one case this moduli space is irreducible. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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pjm-v296-n1-p08-p.pdf | Versão Editora | 405,68 kB | Adobe PDF | Ver/Abrir |
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