ALGEBRAIC CYCLES AND TATE CLASSES ON HILBERT MODULAR VARIETIES

DOI10.1142/S1793042113500875zbMath1285.14007arXiv1507.04422OpenAlexW2964337552MaRDI QIDQ5746423

Jayce Robert Getz, Heekyoung Hahn

Publication date: 18 February 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04422

zbMATH Keywords

Hilbert modular varietiesTate conjecturecuspidal formsHirzebruch-Zagier cycles

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) 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 (2)

Recent progress on the Tate conjecture ⋮ Tate cycles on some quaternionic Shimura varieties mod \(p\)

Cites Work

• Unnamed Item
• Hilbert modular forms with coefficients in intersection homology and quadratic base change
• \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
• On Galois representations associated to Hilbert modular forms
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Period relations and the Tate conjecture for Hilbert modular surfaces
• On \(\ell\)-adic representations attached to modular forms
• Galois representations modulo p and cohomology of Hilbert modular varieties
• Algèbre commutative

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