Tate cycles on a product of two Hilbert modular surfaces
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Publication:1969342
DOI10.1006/jnth.1999.2446zbMath0955.14016OpenAlexW2090762223MaRDI QIDQ1969342
V. Kumar Murty, Dipendra Prasad
Publication date: 21 February 2001
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/3e07544290c9e9b173b81f95b92af844c139b57b
Modular and Shimura varieties (14G35) Moduli, classification: analytic theory; relations with modular forms (14J15) 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)
Related Items (8)
Tate classes on a product of two Picard modular surfaces ⋮ Tate classes and poles of \(L\)-functions of twisted quaternionic Shimura surfaces ⋮ Big images of two-dimensional pseudorepresentations ⋮ Tate classes and \(L\)-functions on a product of a quaternionic Shimura surface and a Picard modular surface ⋮ Algebraic cycles on a product of two Hilbert modular surfaces ⋮ On \(l\)-adic representations attached to Hilbert and Picard modular surfaces ⋮ A local-global question in automorphic forms ⋮ Tate conjecture for some abelian surfaces over totally real or CM number fields
Cites Work
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- On Galois representations associated to Hilbert modular forms
- Algebraic cycles of abelian varieties
- Die Tate-Vermutungen für Hilbert-Blumenthal-Flächen. (The Tate conjectures for Hilbert-Blumenthal surfaces)
- Period relations and the Tate conjecture for Hilbert modular surfaces
- Twists of modular forms and endomorphisms of abelian varieties
- Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
- Galois representations for Hilbert modular forms
- Periods of Hilbert modular surfaces
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