Toshiro Hiranouchi

activity

20242026

collaborators

6 papers

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.NT2026

A Hasse principle for the 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 $C H^{2} (X, 1) \to F^{\times}$ . We study the mod- $l$ structure of $V…

math.NT2026

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

Extended differential symbol and the Kato homology groups

Toshiro Hiranouchi, Rin Sugiyama

Building on our previous work, we investigate an analogue of the differential symbol map used in the Bloch-Gabber-Kato theorem. Within this framework, for an appropriate variety ov…

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 $S K_{1} (E) \to F^{\times}$ ,…

math.KT2024

An additive variant of the differential symbol maps

Toshiro Hiranouchi

Our investigation focuses on an additive analogue of the Bloch-Gabber-Kato theorem which establishes a relation between the Milnor $K$ -group of a field of positive characteristic a…

Galois Symbols for a Jacobian and Multiplicative Groups

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

Zero-cycles on varieties over a Bs​-field

Extended differential symbol and the Kato homology groups

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

An additive variant of the differential symbol maps

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