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Christopher Lazda ; Alexei Skorobogatov - Reduction of Kummer surfaces modulo 2 in the non-supersingular case
epiga:9657 - Épijournal de Géométrie Algébrique, March 23, 2023, Volume 7 - https://doi.org/10.46298/epiga.2023.volume7.9657Reduction of Kummer surfaces modulo 2 in the non-supersingular caseArticle
Authors: 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!
Source: arXiv.org:2205.13831
Volume: Volume 7
Published on: March 23, 2023
Accepted on: December 14, 2022
Submitted on: June 7, 2022
Keywords: Mathematics - Number Theory, Mathematics - Algebraic Geometry, 11G25 (Primary) 11G10, 14G15, 14G20 (Secondary)
Funding:
- Source : OpenAIRE Graph
- FRIAS COFUND Fellowship Programme for Junior and Senior Researchers - Phase 2; Funder: European Commission; Code: 754340
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