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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Structure of the Mordell-Weil group over the $\mathbb {Z}_p$-extensions
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by Jaehoon Lee PDF
Trans. Amer. Math. Soc. 373 (2020), 2399-2425 Request permission

Abstract:

We study the $\Lambda$-module structure of the Mordell-Weil, Selmer, and Tate-Shafarevich groups of an abelian variety over $\mathbb {Z}_p$-extensions.
References
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Additional Information
  • Jaehoon Lee
  • Affiliation: Department of Mathematics, University of California, Los Angeles, Los Angeles, California 90095
  • Address at time of publication: Math department of KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon 34141 South Korea
  • MR Author ID: 1101046
  • Email: jaehoonlee@kaist.ac.kr
  • Received by editor(s): September 24, 2018
  • Received by editor(s) in revised form: May 25, 2019, and June 12, 2019
  • Published electronically: December 20, 2019
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 373 (2020), 2399-2425
  • MSC (2010): Primary 11R23, 11Gxx
  • DOI: https://doi.org/10.1090/tran/7937
  • MathSciNet review: 4069223