Transcendental cycles on ordinary K3 surfaces over finite fields

DOI10.1215/S0012-7094-93-07203-1zbMath0819.14005OpenAlexW2005101761MaRDI QIDQ1320626

Yuri G. Zarhin

Publication date: 14 August 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-93-07203-1

zbMATH Keywords

Néron-Severi group\(\ell\)-adic cohomologyK3 surface over a finite fieldtranscendental cycles

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Étale and other Grothendieck topologies and (co)homologies (14F20) Algebraic cycles (14C25)

Related Items (6)

The Tate conjecture for powers of ordinary cubic fourfolds over finite fields ⋮ Point counting on K3 surfaces and an application concerning real and complex multiplication ⋮ ZETA-FUNCTIONS OF CERTAIN K3-FIBERED CALABI–YAU THREEFOLDS ⋮ Observations on Fermat motives of \(K3\)-type ⋮ Ordinary reduction of K3 surfaces ⋮ Examples of  surfaces with real multiplication

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• ON CYCLES ON ABELIAN VARIETIES OF PRIME DIMENSION OVER FINITE OR NUMBER FIELDS
• Supersingular $K3$ surfaces
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