Tate's conjecture for \(K3\) surfaces of finite height

DOI10.2307/1971327zbMath0591.14005OpenAlexW2018742429WikidataQ29012170 ScholiaQ29012170MaRDI QIDQ1074673

Arthur Ogus, Niels O. Nygaard

Publication date: 1985

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971327

zbMATH Keywords

crystalline deformation theoryequicharacteristic deformations of abstract F-crystalsK3 surface over a finite fieldorder of pole of zeta functionquasi-canonical varieties over p-adic fieldsTate's conjecture on algebraic cycles

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) (p)-adic cohomology, crystalline cohomology (14F30) Special surfaces (14J25) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Cycles and subschemes (14C99)

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