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dc.contributor.authorGreb, Daniel
dc.contributor.authorRoss, Julius
dc.contributor.authorToma, Matei
dc.date.accessioned2016-05-09T08:23:24Z
dc.date.available2016-05-09T08:23:24Z
dc.date.issued2015-01-19
dc.identifier.citationGreb et al. Journal für die reine und angewandte Mathematik (2016)
dc.identifier.issn0075-4102
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/255920
dc.description.abstractWe investigate a semi-continuity property for stability conditions for sheaves that is important for the problem of variation of the moduli spaces as the stability condition changes. We place this in the context of a notion of stability previously considered by the authors, called multi-Gieseker-stability, that generalises the classical notion of Gieseker-stability to allow for several polarisations. As such we are able to prove that on smooth threefolds certain moduli spaces of Gieseker-stable sheaves are related by a finite number of Thaddeus-flips (that is flips arising for Variation of Geometric Invariant Theory) whose intermediate spaces are themselves moduli spaces of sheaves.
dc.description.sponsorshipJR is supported by an EPSRC Career Acceleration Fellowship (EP/J002062/1).
dc.languageEnglish
dc.language.isoen
dc.publisherWalter de Gruyter GmbH
dc.subjectGieseker stability
dc.subjectvariation of moduli spaces
dc.subjectchamber structures
dc.subjectmoduli of quiver representations
dc.subjectsemistable sheaves on Kähler manifolds
dc.titleSemi-continuity of Stability for Sheaves and Variation of Gieseker Moduli Spaces
dc.typeArticle
dc.description.versionThis is the author accepted manuscript. It is currently under an indefinite embargo pending publication by De Gruyter.
prism.publicationDate2016
prism.publicationNameJournal f\"ur die Reine und Angewandte Mathematik 749 (2019), 227-265
dc.rioxxterms.funderEPSRC
dc.rioxxterms.projectidEP/J002062/1
rioxxterms.versionofrecord10.1515/crelle-2016-0022
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2016
dc.identifier.eissn1435-5345
dc.publisher.urlhttp://dx.doi.org/10.1515/crelle-2016-0022
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/J002062/1)
cam.issuedOnline2016-07-16
dc.identifier.urlhttps://arxiv.org/abs/1501.04440
cam.orpheus.successThu Jan 30 12:54:38 GMT 2020 - Embargo updated
rioxxterms.freetoread.startdate2017-12-31


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