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

Let $E\mathrm{/}\mathbb{Q}$ 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 $K\mathrm{/}{\mathbb{Q}}_p$.