Higher codimension Iwasawa theory for elliptic curves with supersingular reduction

DOI10.1007/S40316-023-00216-1MaRDI QIDQ6618832

Takenori Kataoka

Publication date: 15 October 2024

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesIwasawa theorySelmer groupsalgebraic \(p\)-adic \(L\)-functions

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Cites Work

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• Iwasawa theory for elliptic curves at supersingular primes
• Fine Selmer groups of elliptic curves over \(p\)-adic Lie extensions
• On the plus and the minus Selmer groups for elliptic curves at supersingular primes
• Equivariant Iwasawa theory for elliptic curves
• Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\)
• Exterior powers in Iwasawa theory
• Fitting ideals in two-variable equivariant Iwasawa theory and an application to CM elliptic curves
• Finite submodules of Iwasawa modules for multi-variable extensions
• Signed-Selmer groups over the \(\mathbb{Z}_p^2\)-extension of an imaginary quadratic field
• Iwasawa Theory, projective modules, and modular representations
• The parity conjecture for elliptic curves at supersingular reduction primes
• On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensions
• On the cohomology of Kobayashi’s plus/minus norm groups and applications
• Higher Chern classes in Iwasawa theory
• CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION

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