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dc.contributor.authorSmith, Ivanen
dc.contributor.authorSheridan, Nicken
dc.date.accessioned2020-11-03T00:31:21Z
dc.date.available2020-11-03T00:31:21Z
dc.identifier.issn0020-9910
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/312354
dc.description.abstractWe 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.publisherSpringer Nature
dc.rightsAll rights reserved
dc.rights.uri
dc.titleHomological mirror symmetry for generalized Greene-Plesser mirrorsen
dc.typeArticle
prism.publicationNameInventiones Mathematicaeen
dc.identifier.doi10.17863/CAM.59446
dcterms.dateAccepted2020-10-30en
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2020-10-30en
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/N01815X/1)
cam.issuedOnline2020-11-14en
cam.orpheus.successMon Nov 30 07:31:00 GMT 2020 - Embargo updated*
cam.orpheus.counter7*
rioxxterms.freetoread.startdate2021-11-14


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