Tate conjecture for twisted Picard modular surfaces

DOI10.1016/j.jnt.2010.12.005zbMath1283.11086OpenAlexW2149387698WikidataQ123224115 ScholiaQ123224115MaRDI QIDQ531839

Cristian Virdol

Publication date: 20 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.12.005

zbMATH Keywords

Picard modular surfacespotential modularitypoles of \(L\)-functionsTate cycles

Mathematics Subject Classification ID

Galois representations (11F80) Zeta functions and (L)-functions of number fields (11R42) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Totally real fields (11R80)

Cites Work

• A family of Calabi-Yau varieties and potential automorphy. II.
• Potential automorphy and change of weight
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