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

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.

arXiv comment26 pages

References in corpus (5)

• On the theory of higher rank Euler, Kolyvagin and Stark systems, II
• $p$-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou
• On the theory of higher rank Euler, Kolyvagin and Stark systems, III: applications
• On refined conjectures of Birch and Swinnerton-Dyer type for Hasse-Weil-Artin L-series
• On derivatives of Kato's Euler system for elliptic curves