Rin Sugiyama

collaborators

3 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

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…

Galois Symbols for a Jacobian and Multiplicative Groups

Zero-cycles on varieties over a Bs​-field

Extended differential symbol and the Kato homology groups

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