English

On the Brauer class of Modular Endomorphism Algebras

Number Theory 2026-02-17 v1 Algebraic Geometry

Abstract

We investigate the Brauer class of the endomorphism algebra of the motive attached to a non-CM form. The ramification of the algebra is shown in many cases to be controlled by the normalized slopes of the form.

Keywords

Cite

@article{arxiv.2602.13401,
  title  = {On the Brauer class of Modular Endomorphism Algebras},
  author = {Enrique González-Jiménez and Eknath Ghate and Jordi Quer},
  journal= {arXiv preprint arXiv:2602.13401},
  year   = {2026}
}

Comments

Updated version with references, minor corrections, and table including k=5, relative to the published version