English

On derivatives of Kato's Euler system and the Mazur-Tate Conjecture

Number Theory 2021-03-23 v1

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.

Keywords

Cite

@article{arxiv.2103.11535,
  title  = {On derivatives of Kato's Euler system and the Mazur-Tate Conjecture},
  author = {David Burns and Masato Kurihara and Takamichi Sano},
  journal= {arXiv preprint arXiv:2103.11535},
  year   = {2021}
}

Comments

26 pages