Reduction of Kummer surfaces modulo 2 in the non-supersingular caseArticleAuteurs : Christopher Lazda

; Alexei Skorobogatov
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Christopher Lazda;Alexei Skorobogatov
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.
Comment: 31 pages, comments welcome!
Volume : Volume 7
Publié le : 23 mars 2023
Accepté le : 14 décembre 2022
Soumis le : 7 juin 2022
Mots-clés : Mathematics - Number Theory, Mathematics - Algebraic Geometry, 11G25 (Primary) 11G10, 14G15, 14G20 (Secondary)
Financement :
Source : OpenAIRE Graph- FRIAS COFUND Fellowship Programme for Junior and Senior Researchers - Phase 2; Financeur: European Commission; Code: 754340