On good reduction of some K3 surfaces related to abelian surfaces

DOI10.2748/tmj/1429549580zbMath1361.14027arXiv1202.2421OpenAlexW1968492982MaRDI QIDQ2346201

Yuya Matsumoto

Publication date: 29 May 2015

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2421

zbMATH Keywords

good reductionK3 surfacesKummer surfacesShioda-Inose structure

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Local ground fields in algebraic geometry (14G20) Varieties over finite and local fields (11G25)

Related Items (5)

Evaluation of Brauer elements over local fields ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ Good reduction criterion for \(K3\) surfaces ⋮ Transcendental Brauer groups of products of CM elliptic curves ⋮ Degeneration of Kummer surfaces

Cites Work

• Decompositions of an Abelian surface and quadratic forms
• Kummer sandwich theorem of certain elliptic \(K3\) surfaces
• F-isocrystals and De Rham cohomology. I
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• On K3 surfaces with large Picard number
• The Frobenius and monodromy operators for curves and abelian varieties
• Finite groups of symplectic automorphisms of \(K3\) surfaces in positive characteristic
• Good reduction criterion for \(K3\) surfaces
• Good reduction of abelian varieties
• On compact analytic surfaces. II
• Néron Models
• WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$
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