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

Number Theory 2024-10-29 v1

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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Cite

@article{arxiv.2410.20223,
  title  = {On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms},
  author = {Alireza Shavali},
  journal= {arXiv preprint arXiv:2410.20223},
  year   = {2024}
}

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11 pages