On conjectures of Sharifi

Takako Fukaya; Kazuya Kato

doi:10.1215/21562261-2023-0018

Abstract

R. Sharifi formulated remarkable conjectures which relate the arithmetic of cyclotomic fields to modular curves. We give partial solutions to his conjectures.

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Takako Fukaya. Kazuya Kato. "On conjectures of Sharifi." Kyoto J. Math. 64 (2) 277 - 420, May 2024. https://doi.org/10.1215/21562261-2023-0018

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Received: 9 January 2013; Revised: 31 May 2022; Accepted: 14 June 2022; Published: May 2024

First available in Project Euclid: 15 March 2024

Digital Object Identifier: 10.1215/21562261-2023-0018

Subjects:

Primary: 11R23

Secondary: 11R34 , 14G35 , 19F27

Keywords: Iwasawa theory , ‎K-theory , L-function , Sharifi conjectures

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