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2024 | OriginalPaper | Chapter

On the Mod p Iwasawa Theory for Elliptic Curves

Authors : Chan-Ho Kim, R. Sujatha

Published in: Class Groups of Number Fields and Related Topics

Publisher: Springer Nature Singapore

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Abstract

In this note, we study the mod p behavior of Kato’s Euler systems and fine Selmer groups for an elliptic curve with good reduction at a prime \(p \ge 5\). We show that we observe a version of the \(\lambda \)-invariant formula for fine Selmer groups for congruent elliptic curves holds, as in the work of Greenberg–Vatsal, and formulate a mod p version of Kato’s main conjecture.

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previous chapter Fermat Quotients and the Ankeny–Artin–Chowla Conjecture
next chapter Connections of Class Numbers to the Group Structure of Generalized Pythagorean Triples
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Metadata
Title
On the Mod p Iwasawa Theory for Elliptic Curves
Authors
Chan-Ho Kim
R. Sujatha
Copyright Year
2024
Publisher
Springer Nature Singapore
Book
Class Groups of Number Fields and Related Topics

Print ISBN: 978-981-9769-10-0

Electronic ISBN: 978-981-9769-11-7

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-981-97-6911-7_2

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