Supersingular reduction of Kummer surfaces in residue characteristic $2$

Yuya Matsumoto

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arXiv · 2302.09535

Supersingular reduction of Kummer surfaces in residue characteristic $2$

Yuya Matsumoto

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Abstract

Given an abelian surface $A$, defined over a discrete valuation field and having good reduction, does the attached Kummer surface $\mathrm{Km}(A)$ 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 $2$.

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Yuya Matsumoto. 2023-02-19. Supersingular reduction of Kummer surfaces in residue characteristic $2$. https://arxiv.org/abs/2302.09535

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