Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/16230
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dc.contributor.authorMarchesi, S.-
dc.contributor.authorMarques, P. M.-
dc.contributor.authorSoares, H.-
dc.date.accessioned2018-06-27T10:58:58Z-
dc.date.available2018-06-27T10:58:58Z-
dc.date.issued2018-
dc.identifier.issn0030-8730-
dc.identifier.urihttp://hdl.handle.net/10071/16230-
dc.description.abstractWe 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.isoeng-
dc.publisherPacific Journal of Mathematics-
dc.relationSFRH/BSAB/105740/2014-
dc.relation2017/03487-9-
dc.relationUID/GES/00315/2013-
dc.relationSFRH/BSAB/1392/2013-
dc.relation2014/00498-1-
dc.relationPEst-OE/MAT/UI0117/2014-
dc.relation2014/12558-9-
dc.relationPTDC/MAT-GEO/0675/2012-
dc.rightsopenAccesspor
dc.subjectMonadseng
dc.subjectACM varietieseng
dc.titleMonads on projective varietieseng
dc.typearticle-
dc.pagination155 - 180-
dc.publicationstatusPublicadopor
dc.peerreviewedyes-
dc.journalPacific Journal of Mathematics-
dc.distributionInternacionalpor
dc.volume296-
dc.number1-
degois.publication.firstPage155-
degois.publication.lastPage180-
degois.publication.issue1-
degois.publication.titleMonads on projective varietieseng
dc.date.updated2018-06-27T11:55:39Z-
dc.description.versioninfo:eu-repo/semantics/publishedVersion-
dc.identifier.doi10.2140/pjm.2018.296.155-
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Matemáticaspor
iscte.identifier.cienciahttps://ciencia.iscte-iul.pt/id/ci-pub-45815-
iscte.alternateIdentifiers.wosWOS:000432892200008-
iscte.alternateIdentifiers.scopus2-s2.0-85042533637-
Aparece nas coleções:BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica

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