Grothendieck-Messing deformation theory for varieties of \(K3\) type

DOI10.2140/tunis.2019.1.455zbMath1439.14073OpenAlexW2904847161MaRDI QIDQ1728140

Thomas Zink, Andreas Langer

Publication date: 22 February 2019

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

Full work available at URL: https://doi.org/10.2140/tunis.2019.1.455

zbMATH Keywords

crystalline cohomologydisplays\(F\)-ordinary schemesDieudonné 2-displays

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) (p)-adic cohomology, crystalline cohomology (14F30) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items

Crystals of relative displays and Calabi-Yau threefolds ⋮ Construction of quasi-canonical liftings of \(K3\) surfaces of finite height in odd characteristic ⋮ On irreducible symplectic varieties of \(\operatorname{K3}^{[n}\)-type in positive characteristic] ⋮ Higher frames and \(G\)-displays ⋮ Displays and \(p\)-divisible groups ⋮ Higher Displays Arising from Filtered de Rham–Witt Complexes

Cites Work

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• The Tate conjecture for \(K3\) surfaces over finite fields
• Relations between Dieudonné displays and crystalline Dieudonné theory
• The Tate conjecture for ordinary K 3 surfaces over finite fields
• Variétés kähleriennes dont la première classe de Chern est nulle
• Tate's conjecture for \(K3\) surfaces of finite height
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Compact hyperkähler manifolds: Basic results
• On the cohomology of Kähler and hyper-Kähler manifolds
• De Rham-Witt cohomology and displays
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Formal groups arising from algebraic varieties
• DE RHAMWITT COHOMOLOGY FOR A PROPER AND SMOOTH MORPHISM