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A crystalline incarnation of Berthelot's conjecture and Künneth formula for isocrystals

dc.contributor.authorProietto, VD
dc.contributor.authorTonini, F
dc.contributor.authorZhang, L
dc.date.accessioned2021-08-25T09:36:51Z
dc.date.issued2022-01-12
dc.description.abstractBerthelot’s conjecture predicts that under a proper and smooth morphism of schemes in characteristic p, the higher direct images of an overconvergent F-isocrystal are overconvergent F-isocrystals. In this paper we prove that this is true for crystals up to isogeny. As an application we prove the Künneth formula for the crystalline fundamental group scheme.en_GB
dc.description.sponsorshipEuropean Research Council (ERC)en_GB
dc.description.sponsorshipEinstein Foundationen_GB
dc.identifier.citationPublished online 12 January 2022en_GB
dc.identifier.doi10.1090/jag/789
dc.identifier.grantnumber0419744101en_GB
dc.identifier.urihttp://hdl.handle.net/10871/126870
dc.language.isoenen_GB
dc.publisherAmerican Mathematical Societyen_GB
dc.rights© Copyright 2022 University Press, Inc.. This version is made available under the CC-BY-NC-ND 4.0 license: https://creativecommons.org/licenses/by-nc-nd/4.0/  en_GB
dc.titleA crystalline incarnation of Berthelot's conjecture and Künneth formula for isocrystalsen_GB
dc.typeArticleen_GB
dc.date.available2021-08-25T09:36:51Z
dc.descriptionThis is the author accepted manuscript. The final version is available from the American Mathematical Society via the DOI in this recorden_GB
dc.identifier.eissn1534-7486
dc.identifier.journalJournal of Algebraic Geometryen_GB
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/  en_GB
dcterms.dateAccepted2021-07-11
rioxxterms.versionAMen_GB
rioxxterms.licenseref.startdate2021-07-11
rioxxterms.typeJournal Article/Reviewen_GB
refterms.dateFCD2021-08-25T09:34:01Z
refterms.versionFCDAM
refterms.dateFOA2022-02-23T14:32:01Z
refterms.panelBen_GB


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© Copyright 2022 University Press, Inc.. This version is made available under the CC-BY-NC-ND 4.0 license: https://creativecommons.org/licenses/by-nc-nd/4.0/  
Except where otherwise noted, this item's licence is described as © Copyright 2022 University Press, Inc.. This version is made available under the CC-BY-NC-ND 4.0 license: https://creativecommons.org/licenses/by-nc-nd/4.0/