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math.NT2026
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…
math.NT2025
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…
math.NT2025
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…