3 citations · 3 across the 2 of their papers we have counts for
4 papers
Notes on the dual of the ideal class groups of CM-fields
Masato Kurihara
In this paper, for a CM abelian extension of number fields, we propose a conjecture which describes completely the Fitting ideal of the minus part of the Pontryagin dual of t…
Fitting ideals of -ramified Iwasawa modules over totally real fields
Cornelius Greither, Takenori Kataoka, Masato Kurihara
We completely calculate the Fitting ideal of the classical -ramified Iwasawa module for any abelian extension of totally real fields, using the shifted Fitting ideals rece…
On derivatives of Kato's Euler system for elliptic curves
David Burns, Masato Kurihara, Takamichi Sano
In this paper we study a new conjecture concerning Kato's Euler system of zeta elements for elliptic curves over . This conjecture, which we refer to as the `Genera…
Invitation to higher local fields, Part I, section 9: Exponential maps and explicit formulas
Masato Kurihara
An exponential homomorphism for a complete discrete valuation field of characteristic zero which relates differential forms and the Milnor K-groups of the field is studied. An appl…