Tate classes and L-functions on a product of a quaternionic Shimura surface and a Picard modular surface

Cristian Virdol

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Abstract

We compute the space of Tate classes on a product of a quaternionic Shimura surface and a Picard modular surface in terms of automorphic representations including the exact determination of their field of definition and prove the equality between the dimension of the space of Tate classes and the order of the pole at s = 3 of the L-function in some special cases.

Original languageEnglish
Pages (from-to)1430-1447
Number of pages18
JournalJournal of Number Theory
Volume128
Issue number6
DOIs
Publication statusPublished - 2008 Jun 1

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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