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

Cristian Virdol

doi:10.1016/j.jnt.2007.12.005

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

Cristian Virdol

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1430-1447
Number of pages	18
Journal	Journal of Number Theory
Volume	128
Issue number	6
DOIs	https://doi.org/10.1016/j.jnt.2007.12.005
Publication status	Published - 2008 Jun

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2007.12.005

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

Abstract

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