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Iwasawa theory of CM elliptic curves at potentially supersingular primes
Ben Forrás, Antonio Lei
We develop a plus and minus Iwasawa theory for CM elliptic curves with potentially supersingular reduction at a prime . We construct local points that satisfy suitable "jump…
Class Number Relations in Abelian Extensions of Global Fields
Saad El Boukhari, Ben Forrás
Consider a finite abelian extension of global fields with Galois group . We study the rank-one component of the generalized Stickelberger module associated with and…
On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields
Ben Forrás, Katharina Müller
Let be an elliptic curve and let be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integralit…
An equivariant -adic Artin conjecture
Ben Forrás
We formulate an equivariant version of Greenberg's -adic Artin conjecture for smoothed equivariant -adic Artin -functions in the context of an arbitrary one-dimensional ad…