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

Abstract

Let $E/\mathbb{Q}$ be an elliptic curve and let $p\ge 5$ 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 ${\mathbb{Z}}_p$-extension of weakly ramified base fields $K/{\mathbb{Q}}_p$.

32 pages, v2: minor revisions following referee reports

References in corpus (2)

• Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms -- Part II
• On the cohomology of Kobayashi's plus/minus norm groups and applications

Cited by in corpus (1)

• An analogue of Kida's formula for Mazur-Tate elements