The signed supersingular Iwasawa main conjecture for elliptic curves

Let E/QE/\mathbb{Q} have supersingular reduction at pp, let Lp±(E,T)L_p^\pm(E,T) be Pollack's signed pp-adic LL-functions, and let fE±(T)f_E^\pm(T) be the characteristic series of the corresponding signed Selmer groups over the cyclotomic Zp\mathbb{Z}_p-extension. The signed supersingular Iwasawa main conjecture. For each sign ±\pm,

fE±(T)=(Lp±(E,T)).f_E^\pm(T)=(L_p^\pm(E,T)).

This conjecture identifies the signed Selmer characteristic ideals with Pollack's signed pp-adic LL-functions. The supplied text gives no resolution status.

Sources & referencesView supporting material

Primary source

Foivos Chnaras, “On the cyclotomic Iwasawa invariants of elliptic curves of rank one”, arXiv:2502.16910 (2025).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.