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References (28)
-
S Ahmed (2021)
4541Proc. Amer. Math. Soc., 149
-
FM Bleher (2022)
967J. Eur. Math. Soc. (JEMS), 24
-
T. Kataoka (2020)
Fitting Ideals in Two-variable Equivariant Iwasawa Theory and an Application to CM Elliptic CurvesTokyo Journal of Mathematics
-
Antonio Lei, M. Lim (2020)
Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above pJournal de Théorie des Nombres de Bordeaux
-
J. Coates, R. Sujatha (2005)
Fine Selmer groups of elliptic curves over p-adic Lie extensionsMathematische Annalen, 331
-
FM Bleher (2020)
627Amer. J. Math., 142
-
T. Kataoka (2021)
Higher codimension behavior in equivariant Iwasawa theory for CM-fields -
Byoung Kim (2014)
Signed-Selmer Groups over the ℤ2 p-extension of an Imaginary Quadratic FieldCanadian Journal of Mathematics, 66
-
Byoung Kim (2007)
The parity conjecture for elliptic curves at supersingular reduction primesCompositio Mathematica, 143
-
Antonio Lei, Bharathwaj Palvannan (2018)
CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTIONForum of Mathematics, Sigma, 7
-
MF Lim (2022)
On the cohomology of Kobayashi?s plus/minus norm groups and applicationsMath. Proc. Cambridge Philos. Soc., 173
-
T. Kataoka (2021)
Finite submodules of Iwasawa modules for multi-variable extensionsJournal of Number Theory
-
S Ahmed, MF Lim (2021)
On the algebraic functional equation for the mixed signed Selmer group over multiple Zp\documentclass[12pt]{minimal}Proc. Amer. Math. Soc., 149
-
J. Neukirch, A. Schmidt, Kay Wingberg (2000)
Cohomology of number fields -
J Coates (2005)
809Math. Ann., 331
-
(2004)
p-adic Hodge theory and values of zeta functions of modular forms -
F. Bleher, T. Chinburg, Richard Greenberg, M. Kakde, G. Pappas, R. Sharifi, M. Taylor (2015)
Higher Chern classes in Iwasawa theoryAmerican Journal of Mathematics, 142
-
M. Lim (2022)
Mathematical Proceedings of the Cambridge Philosophical Society -
(2008)
Faculty of Science and Technology, Keio University. 3-14-1 Hiyoshi -
Suman Ahmed, M. Lim (2020)
On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensionsProceedings of the American Mathematical Society
-
Takahiro Kitajima, Rei Otsuki (2016)
On the Plus and the Minus Selmer Groups for Elliptic Curves at Supersingular PrimesTokyo Journal of Mathematics
-
R. Greenberg (2011)
Iwasawa Theory, projective modules, and modular representationsMemoirs of the American Mathematical Society, 211
-
F. Bleher, T. Chinburg, Richard Greenberg, M. Kakde, R. Sharifi, M. Taylor (2019)
Exterior powers in Iwasawa theoryJournal of the European Mathematical Society
-
T. Kataoka (2020)
Equivariant Iwasawa theory for elliptic curvesMathematische Zeitschrift
-
(2006)
Selmer complexes -
J Coates, R Sujatha (2005)
Fine Selmer groups of elliptic curves over p\documentclass[12pt]{minimal}Math. Ann., 331
-
T Kataoka (2022)
Finite submodules of unramified Iwasawa modules for multi-variable extensionsJ. Number Th., 239
-
Shin-ichi Kobayashi (2003)
Iwasawa theory for elliptic curves at supersingular primesInventiones mathematicae, 152
- Publisher
- Springer Journals
- Copyright
- Copyright © Fondation Carl-Herz and Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
- ISSN
- 2195-4755
- eISSN
- 2195-4763
- DOI
- 10.1007/s40316-023-00216-1
- Publisher site
- See Article on Publisher Site
Abstract
R\'esum\'eBleher et al. began studying higher codimension Iwasawa theory for classical Iwasawa modules. Subsequently, Lei and Palvannan studied an analogue for elliptic curves with supersingular reduction. In this paper, we obtain a vast generalization of the work of Lei and Palvannan. A key technique is an approach to the work of Bleher et al. that the author previously proposed. For this purpose, we also study the structure of ±-norm subgroups and duality properties of multiply-signed Selmer groups.
Journal
Annales mathématiques du Québec – Springer Journals
Published: May 15, 2023
Keywords: Iwasawa theory; Elliptic curves; Selmer groups; Algebraic p-adic L-functions; 11R23