ON DERIVATIVES OF KATO’S EULER SYSTEM AND THE MAZUR-TATE CONJECTURE

David Burns; Takamichi Sano; Masato Kurihara

doi:10.1093/imrn/rnaf012

ON DERIVATIVES OF KATO’S EULER SYSTEM AND THE MAZUR-TATE CONJECTURE

David Burns, Takamichi Sano, Masato Kurihara

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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.

Original language	English
Article number	rnaf012
Number of pages	28
Journal	International Mathematics Research Notices
Volume	2025
Issue number	4
DOIs	https://doi.org/10.1093/imrn/rnaf012
Publication status	Published - 1 Feb 2025

Keywords

elliptic curves, Birch-Swinnerton-Dyer Conjecture, Mazur-Tate Conjecture, Kato’s Euler system.

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10.1093/imrn/rnaf012

bks5-finalAccepted author manuscript, 582 KBLicence: CC BY

Cite this

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abstract = "We provide a new interpretation of the Mazur-Tate Conjecture and then useit to obtain the first (unconditional) theoretical evidence in support of the conjecture for elliptic curves of strictly positive rank.",

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ON DERIVATIVES OF KATO’S EULER SYSTEM AND THE MAZUR-TATE CONJECTURE

Abstract

Keywords

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