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A note on the Tate conjecture for K3 surfaces

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Publication:1151940
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DOI10.3792/pjaa.56.296zbMath0459.14003OpenAlexW2056449519WikidataQ122927074 ScholiaQ122927074MaRDI QIDQ1151940

Takayuki Oda

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.296


zbMATH Keywords

K3 surfaceKuga-Satake abelian varietiesl-adic cohomology


Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) (p)-adic cohomology, crystalline cohomology (14F30) Special surfaces (14J25) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)


Related Items (3)

On the Shafarevich and Tate conjectures for hyperkähler varieties ⋮ On K3 surfaces with large Picard number ⋮ The Kuga-Satake variety of an abelian surface



Cites Work

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  • La conjecture de Weil pour les surfaces K3
  • Abelian varieties attached to polarized \(K_3\)-surfaces
  • Galois properties of points of finite order of elliptic curves
  • Galois Action on Division Points of Abelian Varieties with Real Multiplications
  • Clifford Algebras and Families of Abelian Varieties
  • Comparaison avec la cohomologie classique : Cas d'un schema lisse


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