Algebraic cycles on a product of two Hilbert modular surfaces

DOI10.1090/S0002-9947-10-05116-0zbMath1223.11061OpenAlexW2078512395MaRDI QIDQ3574790

Cristian Virdol

Publication date: 2 July 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-10-05116-0

zbMATH Keywords

Shimura varietiesalgebraic cyclesHilbert modular surfacesTate conjecture

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Galois representations (11F80) Modular and Shimura varieties (14G35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

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• Algebraic cycles on compact Shimura surface
• On Galois representations associated to Hilbert modular forms
• On Artin L-functions associated to Hilbert modular forms of weight one
• Die Tate-Vermutungen für Hilbert-Blumenthal-Flächen. (The Tate conjectures for Hilbert-Blumenthal surfaces)
• Period relations and the Tate conjecture for Hilbert modular surfaces
• Tate cycles on a product of two Hilbert modular surfaces
• Rankin-Selberg Convolutions
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Quaternionic Distinguished Representations

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