Observations on Fermat motives of \(K3\)-type

DOI10.1006/jnth.1998.2244zbMath0921.14001OpenAlexW1973679944MaRDI QIDQ1273705

Fernando Q. Gouvêa, Noriko Yui

Publication date: 24 September 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2244

zbMATH Keywords

Newton polygonmotivesHodge numbersHodge polygonmotivic decompositionTate conjecture on algebraic cyclesBrauer numbersFermat motives of \(K3\)-typevarieties of \(K3\)-type

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Finite ground fields in algebraic geometry (14G15) Surfaces and higher-dimensional varieties (14J99) Generalizations (algebraic spaces, stacks) (14A20)

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The Tate conjecture for powers of ordinary cubic fourfolds over finite fields

Cites Work

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• Transcendental cycles on ordinary K3 surfaces over finite fields
• A note on the norms of algebraic numbers associated to Jacobi sums
• On Shioda's problem about Jacobi sums
• Frobenius and the Hodge filtration
• Jacobi Sums as "Grossencharaktere"