The Tate conjecture for \(K3\) surfaces -- a survey of some recent progress

DOI10.1007/s40306-014-0048-1zbMath1312.14026OpenAlexW2032647182WikidataQ123335254 ScholiaQ123335254MaRDI QIDQ490005

Vasudevan Srinivas

Publication date: 21 January 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-014-0048-1

zbMATH Keywords

\(K3\) surfacesalgebraic cyclesTate conjecture

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Finite ground fields in algebraic geometry (14G15) Picard groups (14C22) Algebraic cycles (14C25)

Cites Work

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• The Tate conjecture for \(K3\) surfaces over finite fields
• The Tate conjecture for \(K3\) surfaces in odd characteristic
• The Tate conjecture for ordinary K 3 surfaces over finite fields
• Tate's conjecture for \(K3\) surfaces of finite height
• The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces
• On the Shafarevich and Tate conjectures for hyperkähler varieties
• Théorie de Hodge. II. (Hodge theory. II)
• La conjecture de Weil pour les surfaces K3
• Supersingular $K3$ surfaces
• Finiteness of K3 surfaces and the Tate conjecture

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