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arXiv · 1509.00682

Kato's Euler system and the Mazur-Tate refined conjecture of BSD type

Kazuto Ota
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Abstract

Mazur and Tate proposed a conjecture which compares the Mordell-Weil rank of an elliptic curve over $\mathbb{Q}$ with the order of vanishing of Mazur-Tate elements, which are analogues of Stickelberger elements. Under some relatively mild assumptions, we prove this conjecture. Our strategy of the proof is to study divisibility of certain derivatives of Kato's Euler system.

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Kazuto Ota. 2015-09-02. Kato's Euler system and the Mazur-Tate refined conjecture of BSD type. https://arxiv.org/abs/1509.00682

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