2 citations · 2 across the 4 of their papers we have counts for
4 papers
On zeta elements and functional equations for Tate motives over totally real fields
Mahiro Atsuta
In this paper, we study Iwasawa theory for Tate motives over totally real fields. More precisely, we construct a zeta element that interpolates the values of -functions at posit…
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…
On the minus component of the equivariant Tamagawa number conjecture for
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…
Fitting ideals of class groups for CM abelian extensions
Mahiro Atsuta, Takenori Kataoka
Let be a finite abelian CM-extension and a suitable finite set of finite primes of . In this paper, we determine the Fitting ideal of the minus component of the -ra…