Projective moduli space of semistable principal sheaves for a reductive group.
dc.contributor.author | Sols Lucía, Ignacio | |
dc.contributor.author | Gómez, Tomás L. | |
dc.date.accessioned | 2023-06-20T18:42:50Z | |
dc.date.available | 2023-06-20T18:42:50Z | |
dc.date.issued | 2000 | |
dc.description | Dedicated to Silvio Greco on the occasion of his 60th birthday (Catania, 2001). | |
dc.description.abstract | Let X be a smooth projective complex variety, and let G be an algebraic reductive complex group. We define the notion of principal G-sheaf, that generalises the notion of principal G-bundle. Then we define a notion of semistability, and construct the projective moduli space of semistable principal G-sheaves on X. This is a natural compactification of the moduli space of principal G-bundles. This is the announcement note presented by the second author in the conference held at Catania (11-13 April 2001), dedicated to the 60th birthday of Silvio Greco. Detailed proofs will appear elsewhere. | |
dc.description.department | Depto. de Álgebra, Geometría y Topología | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Educación y Cultura (Spain) | |
dc.description.sponsorship | EAGER | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/20848 | |
dc.identifier.issn | 0373-3505 | |
dc.identifier.officialurl | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/282/259 | |
dc.identifier.relatedurl | http://www.dmi.unict.it/ojs/index.php/lematematiche/index | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/58401 | |
dc.issue.number | 2 | |
dc.journal.title | Le Matematiche | |
dc.language.iso | eng | |
dc.page.final | 446 | |
dc.page.initial | 437 | |
dc.publisher | University of Catania | |
dc.relation.projectID | HPRN-CT-2000-00099 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 512 | |
dc.subject.ucm | Álgebra | |
dc.subject.unesco | 1201 Álgebra | |
dc.title | Projective moduli space of semistable principal sheaves for a reductive group. | |
dc.type | journal article | |
dc.volume.number | 55 | |
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dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 6d35def4-3d5f-4978-800f-82b7edf76b5d | |
relation.isAuthorOfPublication.latestForDiscovery | 6d35def4-3d5f-4978-800f-82b7edf76b5d |
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