On conjectures of Sharifi

Takako Fukaya; Kazuya Kato

doi:10.1215/21562261-2023-0018

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Takako Fukaya,¹ Kazuya Kato¹
¹Department of Mathematics, University of Chicago, Chicago, Illinois, USA

Abstract

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

Citation Download Citation

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

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