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dc.contributor.authorFavero, Daviden
dc.date.accessioned2017-11-28T16:16:54Z
dc.date.available2017-11-28T16:16:54Z
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/269773
dc.description.abstractWe give criteria for the existence of a Serre functor on the derived category of a gauged Landau-Ginzburg model. This is used to provide a general theorem on the existence of an admissible (fractional) Calabi-Yau subcategory of a gauged Landau-Ginzburg model and a geometric context for crepant categorical resolutions. We explicitly describe our framework in the toric setting. As a consequence, we generalize several theorems and examples of Orlov and Kuznetsov, ending with new examples of semi-orthogonal decompositions containing (fractional) Calabi-Yau categories.
dc.description.sponsorshipNational Science Foundation under Award No.\ DMS-1401446 and the Engineering and Physical Sciences Research Council under Grant EP/N004922/1
dc.publisherFoundation Compositio Mathematica
dc.rightsAttribution-NonCommercial 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.titleFractional Calabi�Yau categories from Landau�Ginzburg modelsen
dc.typeArticle
prism.endingPage649
prism.publicationNameAlgebraic Geometryen
prism.startingPage596
dc.identifier.doi10.17863/CAM.11169
dcterms.dateAccepted2017-06-22en
rioxxterms.versionofrecord10.14231/ag-2018-016en
rioxxterms.versionVoR*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2017-06-22en
dc.identifier.eissn2214-2584
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/N004922/1)
cam.issuedOnline2018-09-01en
cam.orpheus.successTue Oct 06 10:33:46 BST 2020 - The item has an open VoR version.*
rioxxterms.freetoread.startdate2100-01-01


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Attribution-NonCommercial 4.0 International
Except where otherwise noted, this item's licence is described as Attribution-NonCommercial 4.0 International