5 citations · 5 across the 5 of their papers we have counts for
5 papers
On Euler systems for motives and Heegner points
Takenori Kataoka, Takamichi Sano
We formulate an Iwasawa main conjecture for a higher rank Euler system for a general motive. We prove "one half" of the main conjecture under mild hypotheses. We also formulate a c…
Fitting ideals in two-variable equivariant Iwasawa theory and an application
Takenori Kataoka
We study equivariant Iwasawa theory for two-variable abelian extensions of an imaginary quadratic field. One of the main goals of this paper is to describe the Fitting ideals of Iw…
Equivariant Iwasawa theory for elliptic curves
Takenori Kataoka
We discuss abelian equivariant Iwasawa theory for elliptic curves over at good supersingular primes and non-anomalous good ordinary primes. Using Kobayashi's method, w…
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…
Fitting invariants in equivariant Iwasawa theory
Takenori Kataoka
The main conjectures in Iwasawa theory predict the relationship between the Iwasawa modules and the -adic -functions. Using a certain proved formulation of the main conjectur…