Reduction of Brauer classes on K3 surfaces, rationality and derived equivalence

Simple item page
dc.citation.firstpage289
dc.citation.issueNumber792
dc.citation.journalTitleJournal für die reine und angewandte Mathematik
dc.citation.lastpage305
dc.citation.volumeNumber2022
dc.contributor.authorFrei, Sarah
dc.contributor.authorHassett, Brendan
dc.contributor.authorVárilly-Alvarado, Anthony
dc.date.accessioned2022-12-13T20:58:46Z
dc.date.available2022-12-13T20:58:46Z
dc.date.issued2022
dc.description.abstractGiven a smooth projective variety over a number field and an element of its Brauer group, we consider the specialization of the Brauer class at a place of good reduction for the variety and the class. We are interested in the case of K3 surfaces. We show that a Brauer class on a very general polarized K3 surface over a number field becomes trivial after specialization at a set of places of positive natural density. We deduce that there exist cubic fourfolds over number fields that are conjecturally irrational, with rational reduction at a positive proportion of places. We also deduce that there are twisted derived equivalent K3 surfaces which become derived equivalent after reduction at a positive proportion of places.
dc.identifier.citationFrei, Sarah, Hassett, Brendan and Várilly-Alvarado, Anthony. "Reduction of Brauer classes on K3 surfaces, rationality and derived equivalence." <i>Journal für die reine und angewandte Mathematik,</i> 2022, no. 792 (2022) De Gruyter: 289-305. https://doi.org/10.1515/crelle-2022-0056.
dc.identifier.doihttps://doi.org/10.1515/crelle-2022-0056
dc.identifier.urihttps://hdl.handle.net/1911/114136
dc.language.isoeng
dc.publisherDe Gruyter
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by De Gruyter.
dc.titleReduction of Brauer classes on K3 surfaces, rationality and derived equivalence
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
BrauerZap-revised.pdf
Size:
524.46 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Faculty Publications
Mathematics Faculty Publications