{"title":"Reduction of Kummer surfaces modulo 2 in the non-supersingular case","authors":"Christopher Lazda, A. Skorobogatov","doi":"10.46298/epiga.2023.volume7.9657","DOIUrl":null,"url":null,"abstract":"We obtain necessary and sufficient conditions for the good reduction of\nKummer surfaces attached to abelian surfaces with non-supersingular reduction\nwhen the residue field is perfect of characteristic 2. In this case, good\nreduction with an algebraic space model is equivalent to good reduction with a\nscheme model, which we explicitly construct.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2023.volume7.9657","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
We obtain necessary and sufficient conditions for the good reduction of
Kummer surfaces attached to abelian surfaces with non-supersingular reduction
when the residue field is perfect of characteristic 2. In this case, good
reduction with an algebraic space model is equivalent to good reduction with a
scheme model, which we explicitly construct.
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