1 citations · 1 across the 6 of their papers we have counts for
4 papers · 1 filter
Construction of Galois modules describing ideal class groups and applications to Iwasawa theory
Takenori Kataoka
For a finite Galois extension of number fields, the ideal class groups of intermediate fields do not behave well under taking Galois coinvariants in general. In this paper, we cons…
Construction of a -extension of number fields whose unit group has prescribed Galois module structure
Takenori Kataoka, Manabu Ozaki
Let be a finite -group. We construct a -extension of number fields such that the -adic completion of the unit group of has a prescribed -mod…
Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
Takenori Kataoka, Yoshiaki Okumura
The Taelman class groups associated to Drinfeld modules over function fields serve as an analogue of ideal class groups of number fields. In this paper, we establish an analogue of…
Kida's formula via Selmer complexes
Takenori Kataoka
In Iwasawa theory, the , -invariants of various arithmetic modules are fundamental invariants that measure the size of the modules. Concerning the minus components of the unr…