English

Supersingular reduction of Kummer surfaces in residue characteristic $2$

Algebraic Geometry 2023-02-21 v1 Number Theory

Abstract

Given an abelian surface AA, defined over a discrete valuation field and having good reduction, does the attached Kummer surface Km(A)\mathrm{Km}(A) also have good reduction? In this paper we give an affirmative answer in the extreme case, that is, when the abelian surface has supersingular reduction in characteristic 22.

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Cite

@article{arxiv.2302.09535,
  title  = {Supersingular reduction of Kummer surfaces in residue characteristic $2$},
  author = {Yuya Matsumoto},
  journal= {arXiv preprint arXiv:2302.09535},
  year   = {2023}
}

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16 pages