On the plus and the minus Selmer groups for elliptic curves at supersingular primes

zbMath1411.11106arXiv1607.03612MaRDI QIDQ1989656

Rei Otsuki, Takahiro Kitajima

Publication date: 26 October 2018

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03612

zbMATH Keywords

elliptic curvesformal groupsSelmer groupssupersingular reduction

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23) Elliptic curves over local fields (11G07)

Related Items (16)

Euler characteristics and their congruences for multisigned Selmer groups ⋮ On the algebraic functional equation of the eigenspaces of mixed signed Selmer groups of elliptic curves with good reduction at primes above \(p\) ⋮ Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮ On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting ⋮ On the cohomology of Kobayashi’s plus/minus norm groups and applications ⋮ Ranks of elliptic curves over \(\mathbb{Z}_p^2\)-extensions ⋮ Residual supersingular Iwasawa theory and signed Iwasawa invariants ⋮ On Selmer groups in the supersingular reduction case ⋮ On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensions ⋮ Equivariant Iwasawa theory for elliptic curves ⋮ On the structure of signed Selmer groups ⋮ ON THE EULER CHARACTERISTICS OF SIGNED SELMER GROUPS ⋮ Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves ⋮ Akashi series and Euler characteristics of signed Selmer groups of elliptic curves with semistable reduction at primes above \(p\) ⋮ On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$ ⋮ \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves

Cites Work

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• On the theory of commutative formal groups
• THE PLUS/MINUS SELMER GROUPS FOR SUPERSINGULAR PRIMES
• Signed-Selmer Groups over the ℤ²_p-extension of an Imaginary Quadratic Field
• Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields
• The parity conjecture for elliptic curves at supersingular reduction primes
• On finite $\Lambda $-submodules of Selmer groups of elliptic curves

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