On Deligne's conjecture for Hilbert motives over totally real number fields

Cristian Virdol

doi:10.1215/0023608X-2009-005

On Deligne's conjecture for Hilbert motives over totally real number fields

Cristian Virdol

Department of Mathematics

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

Abstract

In this article we prove that if Deligne's conjecture holds for motives associated to Hubert modular forms of weight at least 3, then Deligne's conjecture holds for arbitrary base change to totally real number fields of motives associated to Hilbert modular forms of weight at least 3.

Original language	English
Pages (from-to)	75-81
Number of pages	7
Journal	Kyoto Journal of Mathematics
Volume	50
Issue number	1
DOIs	https://doi.org/10.1215/0023608X-2009-005
Publication status	Published - 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1215/0023608X-2009-005

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title = "On Deligne's conjecture for Hilbert motives over totally real number fields",

abstract = "In this article we prove that if Deligne's conjecture holds for motives associated to Hubert modular forms of weight at least 3, then Deligne's conjecture holds for arbitrary base change to totally real number fields of motives associated to Hilbert modular forms of weight at least 3.",

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On Deligne's conjecture for Hilbert motives over totally real number fields

Abstract

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