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dc.contributor.authorSheridan, Nick
dc.contributor.authorSmith, Ivan
dc.date.accessioned2021-04-12T15:46:48Z
dc.date.available2021-04-12T15:46:48Z
dc.date.issued2020-11-14
dc.date.submitted2017-11-28
dc.identifier.issn0020-9910
dc.identifier.others00222-020-01018-w
dc.identifier.other1018
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/319740
dc.descriptionFunder: University of Cambridge
dc.description.abstractAbstract: We prove Kontsevich’s homological mirror symmetry conjecture for certain mirror pairs arising from Batyrev–Borisov’s ‘dual reflexive Gorenstein cones’ construction. In particular we prove HMS for all Greene–Plesser mirror pairs (i.e., Calabi–Yau hypersurfaces in quotients of weighted projective spaces). We also prove it for certain mirror Calabi–Yau complete intersections arising from Borisov’s construction via dual nef partitions, and also for certain Calabi–Yau complete intersections which do not have a Calabi–Yau mirror, but instead are mirror to a Calabi–Yau subcategory of the derived category of a higher-dimensional Fano variety. The latter case encompasses Kuznetsov’s ‘K3 category of a cubic fourfold’, which is mirror to an honest K3 surface; and also the analogous category for a quotient of a cubic sevenfold by an order-3 symmetry, which is mirror to a rigid Calabi–Yau threefold.
dc.languageen
dc.publisherSpringer Berlin Heidelberg
dc.subjectArticle
dc.titleHomological mirror symmetry for generalized Greene–Plesser mirrors
dc.typeArticle
dc.date.updated2021-04-12T15:46:48Z
prism.endingPage682
prism.issueIdentifier2
prism.publicationNameInventiones mathematicae
prism.startingPage627
prism.volume224
dc.identifier.doi10.17863/CAM.66865
dcterms.dateAccepted2020-10-22
rioxxterms.versionofrecord10.1007/s00222-020-01018-w
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.identifier.eissn1432-1297


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