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dc.contributor.authorGreb, Danielen
dc.contributor.authorRoss, Juliusen
dc.contributor.authorToma, Mateien
dc.date.accessioned2016-05-09T08:23:24Z
dc.date.available2016-05-09T08:23:24Z
dc.date.issued2016en
dc.identifier.citationGreb et al. Journal für die reine und angewandte Mathematik (2016)en
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.languageEnglishen
dc.language.isoenen
dc.publisherDe Gruyter
dc.subjectGieseker stabilityen
dc.subjectvariation of moduli spacesen
dc.subjectchamber structuresen
dc.subjectmoduli of quiver representationsen
dc.subjectsemistable sheaves on Kähler manifoldsen
dc.titleSemi-continuity of stability for sheaves and variation of Gieseker moduli spacesen
dc.typeArticle
dc.description.versionThis is the author accepted manuscript. It is currently under an indefinite embargo pending publication by De Gruyter.en
prism.publicationDate2016en
prism.publicationNameJournal für die reine und angewandte Mathematiken
dc.rioxxterms.funderEPSRC
dc.rioxxterms.projectidEP/J002062/1
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016en
dc.identifier.eissn1435-5345
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/J002062/1)
dc.identifier.urlhttps://arxiv.org/abs/1501.04440en
cam.orpheus.successThu Jan 30 12:54:38 GMT 2020 - Embargo updated*
rioxxterms.freetoread.startdate2017-12-31


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