On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms

Alireza Shavali

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arXiv · 2410.20223

On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms

Alireza Shavali

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Abstract

In this article, we will generalize an explicit formula proved by Quer for the Brauer class of the endomorphism algebra of abelian varieties associated to modular forms of weight 2 to the case of Hilbert modular forms of parallel weight 2, under the condition that the degree of the base field over Q is an odd number.

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Alireza Shavali. 2024-10-26. On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms. https://arxiv.org/abs/2410.20223

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