2 papers
math.NT2025
On the local equivariant Tamagawa number conjecture for Tate motives
Mahiro Atsuta, Naoto Dainobu, Takenori Kataoka
The local equivariant Tamagawa number conjecture (local ETNC) for a motive predicts a precise relationship between the local arithmetic complex and the root numbers which appear in…
math.NT2025
Determining class groups as Galois modules up to equivalence for some nonabelian extensions
Cornelius Greither, Takenori Kataoka
In previous papers, the Galois module structure of minus class groups was studied for abelian CM extensions. In this paper, we discuss some nonabelian cases, focusing on metacyclic…