Toshiro Hiranouchi

activity

20082026

most citedOn certain products of algebraic groups over a finite field

3 citations · 7 across the 23 of their papers we have counts for

collaborators

28 papers

math.AG2026

Divisibility and torsion in higher Chow groups over arithmetic fields

Toshiro Hiranouchi, Rin Sugiyama

Let $X$ be a smooth scheme of dimension $d$ over a field $F$ . We study the abelian-group structure of the higher Chow groups $C H^{d + i} (X, j)$ . For a prime $l$ different from the cha…

math.AC2026

Krasner Completions of Filtered Bands

Toshiro Hiranouchi

We introduce the Krasner completion of a band equipped with a decreasing filtration by subgroups of its unit group and give a criterion for reconstruction from its quotient bands.…

math.NT2026

Galois Symbols for a Jacobian and Multiplicative Groups

Toshiro Hiranouchi, Rin Sugiyama

Let $C$ be a smooth projective geometrically connected curve over a field $k$ with a $k$ -rational point. Let $J$ be the Jacobian variety of $C$ . For an integer $r \geq 1$ and a posi…

math.NT2025

Zero-cycles on varieties over a $B_{s}$ -field

Toshiro Hiranouchi, Rin Sugiyama

A field $F$ is a $B_{s}$ -field if, for every finite extension $E^{'} / E$ of $F$ , the norm map $K_{s}^{M} (E^{'}) \to K_{s}^{M} (E)$ of the Milnor $K$ -groups is surjective. In particular, fi…

math.NT2025

A Hasse principle for higher Chow groups of curves over a global field

Toshiro Hiranouchi

Let $X$ be a smooth projective curve over a global field $F$ , and let $V (X)$ denote the kernel of the push-forward map $C H^{2} (X, 1) \to C H^{1} (F, 1) = F^{\times}$ of the higher Chow groups…

math.NT2025

A Hasse principle for $G L_{2} (F_{p})$ and Bloch's exact sequence for elliptic curves over number fields

Toshiro Hiranouchi

We investigate the higher Chow groups, specifically $S K_{1} (E)$ for elliptic curves $E$ over number fields $F$ . Focusing on the kernel $V (E)$ of the norm map $S K_{1} (E) \to F^{\times}$ ,…

Divisibility and torsion in higher Chow groups over arithmetic fields

Krasner Completions of Filtered Bands

Galois Symbols for a Jacobian and Multiplicative Groups

Zero-cycles on varieties over a Bs​-field

A Hasse principle for higher Chow groups of curves over a global field

A Hasse principle for GL2​(Fp​) and Bloch's exact sequence for elliptic curves over number fields

Zero-cycles on varieties over a $B_{s}$ -field

A Hasse principle for $G L_{2} (F_{p})$ and Bloch's exact sequence for elliptic curves over number fields