Surfaces of type K3 over fields of finite characteristic

DOI10.1007/BF01094758zbMath0518.14015OpenAlexW4253703886MaRDI QIDQ1053761

I. R. Shafarevich, Alexei Rudakov

Publication date: 1981

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01094758

zbMATH Keywords

crystalline cohomologyTorelli theoremcharacteristic pperiod mapformal Brauer groupp-elementary hyperbolic latticesquasi-elliptic fibrationsvariety of moduli

Mathematics Subject Classification ID

Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Finite ground fields in algebraic geometry (14G15) Families, moduli, classification: algebraic theory (14J10) Moduli, classification: analytic theory; relations with modular forms (14J15) (p)-adic cohomology, crystalline cohomology (14F30) Special surfaces (14J25)

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A Stratification on the Moduli of K3 Surfaces in Positive Characteristic, Deformations of rational curves in positive characteristic, Finiteness of Brauer groups of K3 surfaces in characteristic 2, Classification of automorphisms on a deformation family of hyper-Kähler four-folds by \(p\)-elementary lattices, Rational double points on supersingular 𝐾3 surfaces, Unirationality of certain supersingular \(K3\) surfaces in characteristic 5, Nonsymplectic automorphisms of prime order on O'Grady's sixfolds, Lines in supersingular quartics, Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds, Igor Rostislavovich Shafarevich and his mathematical heritage, Non-liftability of automorphism groups of a \(K3\) surface in positive characteristic, Non-symplectic automorphisms of 3-power order on \(K3\) surfaces, Prime order automorphisms of generalised Kummer fourfolds, Rational curves on the supersingular \(K3\) surface with Artin invariant 1 in characteristic 3, On Enriques surfaces in characteristic \(p\). II, Derived equivalences of twisted supersingular \(K3\) surfaces, A non-liftable Calabi-Yau threefold in characteristic 3, Elliptic Fibrations on K3 Surfaces, On normal \(K3\) surfaces, Projective models of the supersingular \(K3\) surface with Artin invariant 1 in characteristic 5, On the supersingular \(K3\) surface in characteristic 5 with Artin invariant 1, Non-symplectic automorphisms of odd prime order on manifolds of \(K3^{[n}\)-type], Constructing rational curves on \(K3\) surfaces, Calabi-Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces, Transcendental lattices and supersingular reduction lattices of a singular 𝐾3 surface, BHK mirror symmetry for \(K3\) surfaces with non-symplectic automorphism, Classification of non-symplectic automorphisms of order 3 onK3 surfaces, The Berglund-Hübsch-Chiodo-Ruan mirror symmetry for \(K3\) surfaces, AT MOST 64 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 2), Dynkin diagrams of rank 20 on supersingular \(K3\) surfaces, Supersingular \(K3\) surfaces are unirational, The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3

Cites Work

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• On the classification of integral even unimodular 24-dimensional quadratic forms
• Algebraic construction of Brieskorn's resolutions
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Enriques' classification of surfaces in char p. III
• Some results on unirationality of algebraic surfaces
• An example of unirational surfaces in characteristic \(p\)
• Algebraic solutions of differential equations (p-curvature and the Hodge filtration)
• SUPERSINGULARK3 SURFACES OVER FIELDS OF CHARACTERISTIC 2
• Kummer surfaces in characteristic $2$
• Notes on Crystalline Cohomology. (MN-21)
• Elliptic Curves and Wild Ramification
• Functors of Artin Rings