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dc.contributor.authorHitching, George Harry
dc.contributor.authorBajravani, Ali
dc.date.accessioned2021-01-27T17:41:32Z
dc.date.accessioned2021-03-04T12:09:15Z
dc.date.available2021-01-27T17:41:32Z
dc.date.available2021-03-04T12:09:15Z
dc.date.issued2020-11-20
dc.identifier.citationHitching, Bajravani. Brill–Noether loci on moduli spaces of symplectic bundles over curves. Collectanea Mathematica. 2020en
dc.identifier.issn0010-0757
dc.identifier.issn2038-4815
dc.identifier.urihttps://hdl.handle.net/10642/9859
dc.description.abstractThe symplectic Brill–Noether locus Sk 2n,K associated to a curve C parametrises stable rank 2n bundles over C with at least k sections and which carry a nondegenerate skewsymmetric bilinear form with values in the canonical bundle. This is a symmetric determinantal variety whose tangent spaces are defined by a symmetrised Petri map. We obtain upper bounds on the dimensions of various components of Sk . We show the nonemptiness of several Sk , 2n,K 2n,K and in most of these cases also the existence of a component which is generically smooth and of the expected dimension. As an application, for certain values of n and k we exhibit components of excess dimension of the standard Brill–Noether locus Bk over any 2n,2n(g−1) curve of genus g ≥ 122. We obtain similar results for moduli spaces of coherent systems.en
dc.description.sponsorshipAli Bajravani was in part supported by a grant from IPM (No. 99140036).en
dc.language.isoenen
dc.publisherSpringeren
dc.relation.ispartofseriesCollectanea Mathematica;
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in Collectanea Mathematica. The final authenticated version is available online at: https://doi.org/10.1007/s13348-020-00300-7en
dc.subjectBrill-Noether locien
dc.subjectSymplectic vector bundlesen
dc.subjectDeterminantal locien
dc.titleBrill–Noether loci on moduli spaces of symplectic bundles over curvesen
dc.typeJournal articleen
dc.typePeer revieweden
dc.date.updated2021-01-27T17:41:31Z
dc.description.versionacceptedVersionen
dc.identifier.doihttps://doi.org/10.1007/s13348-020-00300-7
dc.identifier.cristin1852934
dc.source.journalCollectanea Mathematica


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