Good reduction criterion for \(K3\) surfaces
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Publication:2512964
DOI10.1007/s00209-014-1365-8zbMath1317.14089arXiv1401.1261OpenAlexW3104031900MaRDI QIDQ2512964
Publication date: 2 February 2015
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.1261
(K3) surfaces and Enriques surfaces (14J28) Local ground fields in algebraic geometry (14G20) Varieties over finite and local fields (11G25)
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Cites Work
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- Supersingular \(K3\) surfaces for large primes. With an Appendix by Andrew Snowden.
- The Tate conjecture for \(K3\) surfaces in odd characteristic
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degeneration of surfaces
- A \(p\)-adic nonabelian criterion for good reduction of curves
- \(K3\) surfaces with Picard number one and infinitely many rational points
- Perverse \(t\)-structure on Artin stacks
- The six operations for sheaves on Artin stacks. I: Finite coefficients
- The six operations for sheaves on Artin stacks. II: Adic coefficients
- Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
- Algebraic construction of Brieskorn's resolutions
- Spectral sequence of weights in Hyodo-Kato cohomology
- \(p\)-divisible groups, finite groups and filtered modules
- A note on ramification of the Galois representation on the fundamental group of an algebraic curve. II
- The Frobenius and monodromy operators for curves and abelian varieties
- On good reduction of some K3 surfaces related to abelian surfaces
- Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
- Good reduction of abelian varieties
- Algebraic spaces
- Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
- Kuga-Satake abelian varieties of K3 surfaces in mixed characteristic
- On the computation of the Picard group for K3 surfaces
- On the Valuations Centered in a Local Domain
- Projective Models of K - 3 Surfaces
- Semistable Minimal Models of Threefolds in Positive or Mixed Characteristic
- WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$
- Degeneration of l -adic weight spectral sequences
- Hodge groups of K3 surfaces.
- Log smooth extension of a family of curves and semi-stable reduction
- Two Fundamental Theorems on Deformations of Polarized Varieties
- Integral canonical models for Spin Shimura varieties
- Elliptic Curves and Wild Ramification