Takenori Kataoka

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20242026

most citedKida's formula via Selmer complexes

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math.NT2026

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…

math.NT2026

Construction of a $p$ -extension of number fields whose unit group has prescribed Galois module structure

Takenori Kataoka, Manabu Ozaki

Let $G$ be a finite $p$ -group. We construct a $G$ -extension $K / k$ of number fields such that the $p$ -adic completion of the unit group of $K$ has a prescribed $Z_{p} [G]$ -mod…

Construction of Galois modules describing ideal class groups and applications to Iwasawa theory

Construction of a p-extension of number fields whose unit group has prescribed Galois module structure

Construction of a $p$ -extension of number fields whose unit group has prescribed Galois module structure