On the Brauer class of Modular Endomorphism Algebras
Enrique Gonz\'alez-Jim\'enez, Eknath Ghate, Jordi Quer
TL;DR
This paper explores how the Brauer class of endomorphism algebras associated with motives from non-CM modular forms is influenced by the form's normalized slopes, revealing key ramification properties.
Contribution
It establishes a link between the ramification of the Brauer class and the normalized slopes of non-CM modular forms, providing new insights into their algebraic structure.
Findings
Ramification of the algebra is controlled by normalized slopes.
The Brauer class behavior varies with different slopes.
Provides criteria for ramification based on slopes.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons