A GIT interpretration of the Harder-Narasimhan filtration

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dc.contributor.authorGómez, Tomás L.
dc.contributor.authorSols Lucía, Ignacio
dc.contributor.authorAlfonso, Zamora
dc.date.accessioned2023-06-19T13:29:29Z
dc.date.available2023-06-19T13:29:29Z
dc.date.issued2015-01
dc.description.abstractAn unstable torsion free sheaf on a smooth projective variety gives a GIT unstable point in certain Quot scheme. To a GIT unstable point, Kempf associates a "maximally destabilizing" 1-parameter subgroup, and this induces a filtration of the torsion free sheaf. We show that this filtration coincides with the Harder-Narasimhan filtration.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministerio de Economia y Competitividad
dc.description.sponsorshipFPU Grant from the Spanish Ministerio de Educacion
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/29073
dc.identifier.doi10.1007/s13163-014-0149-3
dc.identifier.issn1139-1138
dc.identifier.officialurlhttp://link.springer.com/article/10.1007/s13163-014-0149-3
dc.identifier.relatedurlhttp://arxiv.org/abs/1112.1886
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33855
dc.issue.number1
dc.journal.titleRevista matemática complutense
dc.language.isoeng
dc.page.final190
dc.page.initial169
dc.publisherSpringer
dc.relation.projectIDICMAT Severo Ochoa project SEV-2011-0087
dc.relation.projectIDMTM2010-17389
dc.rights.accessRightsopen access
dc.subject.cdu51
dc.subject.keywordVector bundles
dc.subject.keywordModuli space
dc.subject.keywordStability
dc.subject.keywordGeometric invariant theory
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.unesco12 Matemáticas
dc.titleA GIT interpretration of the Harder-Narasimhan filtration
dc.typejournal article
dc.volume.number28
dspace.entity.typePublication
relation.isAuthorOfPublication6d35def4-3d5f-4978-800f-82b7edf76b5d
relation.isAuthorOfPublication.latestForDiscovery6d35def4-3d5f-4978-800f-82b7edf76b5d

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