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Moduli spaces of coherent systems of small slope on algebraic curves.

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dc.contributor.authorBradlow, S.B.
dc.contributor.authorGarcía Prada, O.
dc.contributor.authorMercat, V.
dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T03:32:03Z
dc.date.available2023-06-20T03:32:03Z
dc.date.issued2009
dc.description.abstractLet C be an algebraic curve of genus g ≥ 2. A coherent system on C consists of a pair (E, V ), where E is an algebraic vector bundle over C of rank n and degree d and V is a subspace of dimension k of the space of sections of E. The stability of the coherent system depends on a parameter α. We study the geometry of the moduli space of coherent systems for 0 < d ≤ 2n. We show that these spaces are irreducible whenever they are non-empty and obtain necessary and sufficient conditions for non-emptiness.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipVector Bundles on
dc.description.sponsorshipRoyal Society of London for an International
dc.description.sponsorshipNational Science Foundation
dc.description.sponsorshipMEC
dc.description.sponsorshipNSF
dc.description.sponsorshipCIMAT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20885
dc.identifier.doi10.1080/00927870902747464
dc.identifier.issn0092-7872
dc.identifier.officialurlhttp://www.tandfonline.com/doi/pdf/10.1080/00927870902747464
dc.identifier.urihttps://hdl.handle.net/20.500.14352/43762
dc.issue.number8
dc.journal.titleCommunications in Algebra
dc.language.isoeng
dc.page.final2678
dc.page.initial2649
dc.publisherTaylor & Francis
dc.relation.projectID15646
dc.relation.projectID2005/R3
dc.relation.projectIDDMS-0072073
dc.relation.projectIDMTM2004-07090-C03-01
dc.relation.projectIDDMS-0111298
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordAlgebraic curves
dc.subject.keywordBrill–Noether loci
dc.subject.keywordCoherent systems
dc.subject.keywordModuli of vector bundles.
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleModuli spaces of coherent systems of small slope on algebraic curves.
dc.typejournal article
dc.volume.number37
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