On derivatives of Kato's Euler system and the Mazur-Tate Conjecture
David Burns, Masato Kurihara, Takamichi Sano
TL;DR
This paper offers a new interpretation of the Mazur-Tate Conjecture and provides the first unconditional theoretical evidence supporting it for elliptic curves with positive rank.
Contribution
It introduces a novel interpretation of the conjecture and establishes unconditional evidence for elliptic curves of positive rank.
Findings
New interpretation of the Mazur-Tate Conjecture
Unconditional evidence for elliptic curves of positive rank
Supports the conjecture's validity in new cases
Abstract
We provide a new interpretation of the Mazur-Tate Conjecture and then use it to obtain the first (unconditional) theoretical evidence in support of the conjecture for elliptic curves of strictly positive rank.
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 Algebra and Geometry · Geometry and complex manifolds