⌘+K

Pulse Explore Communities Researchers Journals

Home Communities Explore

July 11, 2024Open Access

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields

Ben Forrás Katharina Müller

View Full Paper

Ask AI

Bookmark

Share

Ask about this paper

Answers are grounded in this paper and cite their sources.

Ask your own question…

Abstract

Let E/Q be an elliptic curve and let p≥ 5 be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integrality results for characteristic elements of signed Selmer groups along the cyclotomic Zₚ-extension of weakly ramified base fields K/Qₚ.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Forrás et al. (2024) studied this question.

synapsesocial.com/papers/68e60ad1b6db64358759e373 https://doi.org/10.48550/arxiv.2407.08430

View Full Paper

Ask AI

Bookmark

Share

Keep reading

Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context:

1Galois cohomology of elliptic curves over anticyclotomic extensions2025 · 1 citations
2The growth of Tate-Shafarevich groups of $p$-supersingular elliptic curves over anticyclotomic $\mathbb{Z}_p$-extensions at inert primes2024 · 2 citations
3The Failure of Galois Descent for <i>p</i>-Selmer Groups of Elliptic Curves2024 · 1 citations
4Selmer stability for elliptic curves in Galois $\ell$-extensions2025
5Non-commutative Iwasawa theory of abelian varieties over global function fields2024
6The structure of Selmer groups and the Iwasawa main conjecture for elliptic curvesOriginal Research · 2026 · 4 citations
7Large-q Limit of Selmer Groups over Function Fields Converges to Divisor-Sum Function — E8 Intelligence ResearchOriginal Research · 2026
8The growth of Tate–Shafarevich groups of p$p$‐supersingular elliptic curves over anticyclotomic Zp${\mathbb {Z}}_p$‐extensions at inert primes2025 · 2 citations