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http://hdl.handle.net/2445/142819
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DC Field | Value | Language |
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dc.contributor.author | Marchesi, Simone | - |
dc.contributor.author | Marques, Pedro Macías | - |
dc.contributor.author | Soares, Helena | - |
dc.date.accessioned | 2019-10-23T10:09:29Z | - |
dc.date.available | 2019-10-23T10:09:29Z | - |
dc.date.issued | 2018-05-01 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.uri | http://hdl.handle.net/2445/142819 | - |
dc.description.abstract | We generalize Fløystad's theorem on the existence of monads on projectivespace to a larger set of projective varieties. We consider a varietyX, a linebundleLonX, and a basepoint-free linear system of sections ofLgiving amorphism to projective space whose image is either arithmetically Cohen-Macaulay (ACM) or linearly normal and not contained in a quadric. Wegive necessary and sufficient conditions on integersa,bandcfor a monadof type $\mathbf{0} \rightarrow\left(\boldsymbol{L}^{\vee}\right)^{a} \rightarrow \mathcal{O}_{X}^{b} \rightarrow \boldsymbol{L}^{c} \rightarrow \mathbf{0}$ to exist. We show that under certain conditions there exists a monad whosecohomology sheaf is simple. We furthermore characterize low-rank vectorbundles that are the cohomology sheaf of some monad as above.Finally, we obtain an irreducible family of monads over projective spaceand make a description on how the same method could be used on an ACMsmooth projective varietyX. We establish the existence of a coarse modulispace of low-rank vector bundles over an odd-dimensionalXand show thatin one case this moduli space is irreducible. | - |
dc.format.extent | 26 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Mathematical Sciences Publishers (MSP) | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.2140/pjm.2018.296.155 | - |
dc.relation.ispartof | Pacific Journal of Mathematics, 2018, vol. 296, num. 1, p. 155-180 | - |
dc.relation.uri | https://doi.org/10.2140/pjm.2018.296.155 | - |
dc.rights | (c) Mathematical Sciences Publishers (MSP), 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Varietats algebraiques | ca |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Algebraic varieties | en |
dc.title | Monads on projective varieties | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 692160 | - |
dc.date.updated | 2019-10-23T10:09:29Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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692160.pdf | 400.08 kB | Adobe PDF | View/Open |
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