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January 2021 A note on the main conjecture over $\mathbb{Q}$
Mahesh Kakde, Wojtkowiak Zdzisław
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Osaka J. Math. 58(1): 149-170 (January 2021).

Abstract

In this note we show how the main conjecture of the Iwasawa theory over $\mathbb Q$ has a natural place in the context of the Galois representation of $Gal (\bar{\mathbb Q}/\mathbb Q)$ on the etale pro-$p$ fundamental group of the projective line minus three points. However we still need to assume the Vandiver conjecture to get a proof of the main conjecture in this context.

Acknowledgments

The second author would like to thank very much Hiroaki Nakamura for discussions.

Citation

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Mahesh Kakde. Wojtkowiak Zdzisław . "A note on the main conjecture over $\mathbb{Q}$." Osaka J. Math. 58 (1) 149 - 170, January 2021.

Information

Received: 4 January 2019; Revised: 20 September 2019; Published: January 2021
First available in Project Euclid: 9 May 2021

Subjects:
Primary: 11R23
Secondary: 11R18 , 11R32 , 11S40

Rights: Copyright © 2021 Osaka University and Osaka City University, Departments of Mathematics

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Vol.58 • No. 1 • January 2021
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