Good Reduction of K3 Surfaces

DOI10.1112/S0010437X17007400zbMath1386.14138arXiv1411.4797MaRDI QIDQ5360471

Yuya Matsumoto, Christian Liedtke

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4797

zbMATH Keywords

good reduction\(K3\) surfacesGalois representations

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Galois representations (11F80) Minimal model program (Mori theory, extremal rays) (14E30) Varieties over finite and local fields (11G25)

Related Items

On the relative minimal model program for fourfolds in positive and mixed characteristic ⋮ A special Calabi–Yau degeneration with trivial monodromy ⋮ Good Reduction of K3 Surfaces in equicharacteristic p ⋮ Non-liftability of automorphism groups of a \(K3\) surface in positive characteristic ⋮ Twisted derived equivalences and isogenies between \(K3\) surfaces in positive characteristic ⋮ Unconditional construction of \(K3\) surfaces over finite fields with given \(L\)-function in large characteristic ⋮ Minimal model program for semi-stable threefolds in mixed characteristic ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ On a cohomological generalization of the Shafarevich conjecture for \(K3\) surfaces ⋮ What is the Monodromy Property for Degenerations of Calabi-Yau Varieties? ⋮ Ordinary K3 surfaces over a finite field ⋮ Ramification in the cohomology of algebraic surfaces arising from ordinary double point singularities ⋮ On the Shafarevich conjecture for Enriques surfaces ⋮ A monodromy criterion for the good reduction of \(K3\) surfaces ⋮ Degeneration of Kummer surfaces ⋮ On derived equivalences of \(K3\) surfaces in positive characteristic ⋮ A Kulikov-type classification theorem for a one parameter family of \(K3\)-surfaces over a \(p\)-adic field and a good reduction criterion ⋮ Curves on \(K3\) surfaces

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