Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/16230
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Marchesi, S. | - |
dc.contributor.author | Marques, P. M. | - |
dc.contributor.author | Soares, H. | - |
dc.date.accessioned | 2018-06-27T10:58:58Z | - |
dc.date.available | 2018-06-27T10:58:58Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.uri | http://hdl.handle.net/10071/16230 | - |
dc.description.abstract | 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. | eng |
dc.language.iso | eng | - |
dc.publisher | Pacific Journal of Mathematics | - |
dc.relation | SFRH/BSAB/105740/2014 | - |
dc.relation | 2017/03487-9 | - |
dc.relation | UID/GES/00315/2013 | - |
dc.relation | SFRH/BSAB/1392/2013 | - |
dc.relation | 2014/00498-1 | - |
dc.relation | PEst-OE/MAT/UI0117/2014 | - |
dc.relation | 2014/12558-9 | - |
dc.relation | PTDC/MAT-GEO/0675/2012 | - |
dc.rights | openAccess | por |
dc.subject | Monads | eng |
dc.subject | ACM varieties | eng |
dc.title | Monads on projective varieties | eng |
dc.type | article | - |
dc.pagination | 155 - 180 | - |
dc.publicationstatus | Publicado | por |
dc.peerreviewed | yes | - |
dc.journal | Pacific Journal of Mathematics | - |
dc.distribution | Internacional | por |
dc.volume | 296 | - |
dc.number | 1 | - |
degois.publication.firstPage | 155 | - |
degois.publication.lastPage | 180 | - |
degois.publication.issue | 1 | - |
degois.publication.title | Monads on projective varieties | eng |
dc.date.updated | 2018-06-27T11:55:39Z | - |
dc.description.version | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.doi | 10.2140/pjm.2018.296.155 | - |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Matemáticas | por |
iscte.identifier.ciencia | https://ciencia.iscte-iul.pt/id/ci-pub-45815 | - |
iscte.alternateIdentifiers.wos | WOS:000432892200008 | - |
iscte.alternateIdentifiers.scopus | 2-s2.0-85042533637 | - |
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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