Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\)

DOI10.5802/jtnb.1185zbMath1497.11152arXiv2001.09304OpenAlexW3089252635MaRDI QIDQ2074002

Antonio Lei, Meng Fai Lim

Publication date: 3 February 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09304

zbMATH Keywords

Euler characteristicsAkashi seriessigned Selmer groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23)

Related Items (4)

Euler characteristics and their congruences for multisigned Selmer groups ⋮ On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves ⋮ On the cohomology of Kobayashi’s plus/minus norm groups and applications ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Notes on non-commutative Iwasawa theory
• Signed Selmer groups over \(p\)-adic Lie extensions
• \(p\)-adic height pairings. II
• Iwasawa theory for elliptic curves at supersingular primes
• Links between cyclotomic and \(\text{GL}_2\) Iwasawa theory
• Completely faithful Selmer groups over Kummer extensions
• Notes on the fine Selmer groups
• Iwasawa L-functions of varieties over algebraic number fields. A first approach
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Kummer theory for abelian varieties over local fields
• On the plus and the minus Selmer groups for elliptic curves at supersingular primes
• Ranks of elliptic curves over \(\mathbb{Z}_p^2\)-extensions
• On Selmer groups in the supersingular reduction case
• Integral Iwasawa theory of Galois representations for non-ordinary primes
• The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication
• Rational points of Abelian varieties with values in towers of number fields
• Abelian varieties over \(p\)-adic ground fields
• On the growth of Mordell-Weil ranks in \(p\)-adic Lie extensions
• THE PLUS/MINUS SELMER GROUPS FOR SUPERSINGULAR PRIMES
• Signed-Selmer Groups over the ℤ²_p-extension of an Imaginary Quadratic Field
• A spectral sequence for Iwasawa adjoints
• A remark on the 𝔐_H(G)-conjecture and Akashi series
• Euler characteristics, Akashi series and compact 𝑝-adic Lie groups
• Akashi series of Selmer groups
• The main conjecture of Iwasawa theory for elliptic curves with complex multiplication over abelian extensions at supersingular primes
• The parity conjecture for elliptic curves at supersingular reduction primes
• Coleman-adapted Rubin–Stark Kolyvagin systems and supersingular Iwasawa theory of CM abelian varieties
• Generalised Euler characteristics of Selmer groups
• Arithmétique des courbes elliptiques et théorie d'Iwasawa
• On the ranks of Iwasawa modules over $p$ -adic Lie extensions
• Selmer Groups of Elliptic Curves with Complex Multiplication
• SELMER GROUPS OVER $p$-ADIC LIE EXTENSIONS I
• Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions
• ON THE EULER CHARACTERISTICS OF SIGNED SELMER GROUPS
• CODIMENSION TWO CYCLES IN IWASAWA THEORY AND ELLIPTIC CURVES WITH SUPERSINGULAR REDUCTION
• Euler characteristics and elliptic curves. II.

This page was built for publication: Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\)