Mahiro Atsuta

activity

20212026

most citedFitting ideals of class groups for CM abelian extensions

2 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

On the minus component of the equivariant Tamagawa number conjecture for $G_{m}$

Mahiro Atsuta, Takenori Kataoka

The equivariant Tamagawa number conjecture (hereinafter called the eTNC) predicts close relationships between algebraic and analytic aspects of motives. In this paper, we prove a l…

math.NT2021★ 2 cited

Fitting ideals of class groups for CM abelian extensions

Mahiro Atsuta, Takenori Kataoka

Let $K / k$ be a finite abelian CM-extension and $T$ a suitable finite set of finite primes of $k$ . In this paper, we determine the Fitting ideal of the minus component of the $T$ -ra…

On the minus component of the equivariant Tamagawa number conjecture for Gm​

Fitting ideals of class groups for CM abelian extensions

On the minus component of the equivariant Tamagawa number conjecture for $G_{m}$