Algebraic cycles on compact Shimura surface

DOI10.1007/BF01168162zbMath0558.14001OpenAlexW1971738012MaRDI QIDQ762565

King-Fai Lai

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173603

zbMATH Keywords

L-functionTate conjecture on algebraic cyclesGalois-subspace of the \(\ell \)-adic cohomologyquaternionic algebraShimura surface

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Special surfaces (14J25) Cycles and subschemes (14C99)

Related Items

Die Tate-Vermutungen für Hilbert-Blumenthal-Flächen. (The Tate conjectures for Hilbert-Blumenthal surfaces), Tate classes and poles of \(L\)-functions of twisted quaternionic Shimura surfaces, Period relations and the Tate conjecture for Hilbert modular surfaces, On the Tate-conjecture for Hilbert modular surfaces in finite characteristic, Distinguished p-adic representations, On the arithmetic dimension of triangle groups, Tate classes and \(L\)-functions on a product of a quaternionic Shimura surface and a Picard modular surface, On Arthur's class expansion of the relative trace formula, ALGEBRAIC CYCLES ON COMPACT QUATERNIONIC SHIMURA FOURFOLDS AND POLES OF L-FUNCTIONS, Algebraic cycles on a product of two Hilbert modular surfaces, Periods of automorphic forms, A trace formula for symmetric spaces

Cites Work

• Algebraic cycles of abelian varieties
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Algebraic cycles on abelian varieties of complex multiplication type
• Automorphic forms on GL (2)
• On the Zeta-Functions of Some Simple Shimura Varieties
• Modular Forms and ℓ-Adic Representations
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