Ranks of the rational points of abelian varieties over ramified fields, and Iwasawa theory for primes with non-ordinary reduction

Author:

Kim Byoung DuORCID

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference14 articles.

1. Lie groups and Lie hyperalgebras over a field of characteristic p>0 (IV);Dieudonné;Amer. J. Math.,1955

2. Lie groups and Lie hyperalgebras over a field of characteristic p>0 (VI);Dieudonné;Amer. J. Math.,1957

3. Groupes p-divisibles sur les corps locaux;Fontaine;Astérisque,1977

4. Iwasawa theory for elliptic curves;Greenberg,1999

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1. Iwasawa theory of plus/minus Selmer groups with non-co-free plus/minus local conditions;International Journal of Number Theory;2023-11-23

2. Residual supersingular Iwasawa theory and signed Iwasawa invariants;Rendiconti del Seminario Matematico della Università di Padova;2023-01-11

3. Constructing plus/minus local points over Iwasawa Kummer extensions, and Iwasawa theory for supersingular reduction;Journal of Number Theory;2021-11

4. Explicit uniformizers for certain totally ramified extensions of the field of p-adic numbers;Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg;2020-04

5. On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions;Proceedings of the American Mathematical Society, Series B;2020-02-11

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