Cotorsion conjecture for signed Selmer groups over cyclotomic extensions

Let $E$ be the elliptic curve and let $F_\infty$ be the cyclotomic extension considered in the paper. For each supersingular prime $w$, choose $s_w\in\{\flat,\sharp\}$, and write $\vec{s}=(s_w)_{w\in\Sigma_\mathrm{ss}}$. The signed Selmer group $\operatorname{Sel}^{\vec{s}}(E/F_\infty)$ is defined using the corresponding signed local conditions, and $\Lambda$ denotes the relevant Iwasawa algebra. Cotorsion conjecture. For all choices of $\vec{s}$, the Selmer group

$$\operatorname{Sel}^{\vec{s}}(E/F_\infty)$$

is cotorsion over $\Lambda$. For an elliptic curve over $\mathbb{Q}$ with good supersingular reduction at $p$, this conjecture was established by Kobayashi; the result concerns the Iwasawa-theoretic structure of signed Selmer groups in the supersingular setting.