Moduli space of principal sheaves over projective varieties
| dc.contributor.author | Sols Lucía, Ignacio | |
| dc.contributor.author | Gómez, Tomás L. | |
| dc.date.accessioned | 2023-06-20T10:33:37Z | |
| dc.date.available | 2023-06-20T10:33:37Z | |
| dc.date.issued | 2005-03 | |
| dc.description.abstract | Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a Riemann surface and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to higher dimension, allowing also objects which we call semistable principal G-sheaves, in order to obtain a projective moduli space: a principal G-sheaf on a projective variety X is a triple (P, E, psi), where E is a torsion free sheaf on X, P is a principal G-bundle on the open set U where E is locally free and psi is an isomorphism between E vertical bar(U) and the vector bundle associated to P by the adjoint representation. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20368 | |
| dc.identifier.doi | 10.4007/annals.2005.161.1037 | |
| dc.identifier.issn | 0003-486X | |
| dc.identifier.officialurl | http://0-annals.math.princeton.edu.cisne.sim.ucm.es/wp-content/uploads/annals-v161-n2-p11.pdf | |
| dc.identifier.relatedurl | http://0-annals.math.princeton.edu.cisne.sim.ucm.es/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50519 | |
| dc.issue.number | 2 | |
| dc.journal.title | Annals of Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 1092 | |
| dc.page.initial | 1037 | |
| dc.publisher | Princeton University | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512 | |
| dc.subject.keyword | Compact riemann surface | |
| dc.subject.keyword | Unitary vector bundles | |
| dc.subject.keyword | Algebraic-curves | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | Moduli space of principal sheaves over projective varieties | |
| dc.type | journal article | |
| dc.volume.number | 161 | |
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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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