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Tate conjecture for a product of a Shimura curve and a Picard modular surface

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Publication:5401664
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DOI10.1090/S0002-9939-2013-11819-8zbMath1304.11128WikidataQ123312977 ScholiaQ123312977MaRDI QIDQ5401664

Cristian Virdol

Publication date: 11 March 2014

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

Full work available at URL: http://www.ams.org/journals/proc/2014-142-03/S0002-9939-2013-11819-8


zbMATH Keywords

Shimura curvePicard modular surfaceTate conjecture


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

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  • A family of Calabi-Yau varieties and potential automorphy. II.
  • On Galois representations associated to Hilbert modular forms
  • On Artin L-functions associated to Hilbert modular forms of weight one
  • Potential automorphy and change of weight
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