TL;DR
This paper explores the category of motives associated with an elliptic curve, using advanced algebraic and categorical frameworks to deepen understanding of their structure.
Contribution
It introduces a new description of the motives for an elliptic curve as a derived category of dg modules over a specific algebra.
Findings
Provides a categorical framework for elliptic curve motives
Connects motives with dg modules over a commutative dg algebra
Enhances understanding of the structure of elliptic curve motives
Abstract
In this paper we describe the category of motives for an elliptic curve in the sense of Voevodsky as a derived category of dg modules over a commutative differential graded algebra in the category of representations over some reductive group.
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 Geometry and Number Theory · Advanced Numerical Analysis Techniques · Geometric and Algebraic Topology