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dc.contributor.authorDoran, Charles Fen
dc.contributor.authorKelly, Tyleren
dc.contributor.authorSalerno, Adrianaen
dc.contributor.authorSperber, Stevenen
dc.contributor.authorVoight, Johnen
dc.contributor.authorWhitcher, Ursulaen
dc.date.accessioned2018-05-15T13:00:06Z
dc.date.available2018-05-15T13:00:06Z
dc.date.issued2018-10en
dc.identifier.issn0021-2172
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/275809
dc.description.abstractWe prove that if two Calabi-Yau invertible pencils have the same dual weights, then they share a common factor in their zeta functions. By using Dwork cohomology, we demonstrate that this common factor is related to a hypergeometric Picard–Fuchs differential equation. The factor in the zeta function is defined over the rationals and has degree at least the order of the Picard–Fuchs equation. As an application, we relate several pencils of K3 surfaces to the Dwork pencil, obtaining new cases of arithmetic mirror symmetry.
dc.languageenen
dc.publisherSpringer Nature
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleZeta functions of alternate mirror Calabi–Yau familiesen
dc.typeArticle
prism.endingPage705
prism.issueIdentifier2en
prism.publicationDate2018en
prism.publicationNameIsrael Journal of Mathematicsen
prism.startingPage665
prism.volume228en
dc.identifier.doi10.17863/CAM.23075
dcterms.dateAccepted2018-02-12en
rioxxterms.versionofrecord10.1007/s11856-018-1783-0en
rioxxterms.versionVoR*
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2018-10en
dc.identifier.eissn1565-8511
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/N004922/1)
cam.issuedOnline2018-09-26en
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 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International