ALGEBRAIC CYCLES ON COMPACT QUATERNIONIC SHIMURA FOURFOLDS AND POLES OF L-FUNCTIONS

DOI10.1017/S0017089510000789zbMath1283.11078MaRDI QIDQ3000412

Cristian Virdol

Publication date: 18 May 2011

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

zbMATH Keywords

poles of \(L\)-functionsAlgebraic cyclescompact quaternionic Shimura fourfolds

Mathematics Subject Classification ID

Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular and Shimura varieties (14G35) Algebraic cycles (14C25) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

• Unnamed Item
• 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
• Rankin-Selberg Convolutions
• Quaternionic Distinguished Representations

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