Yusuke Sato

activity

20202026

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4 papers · 1 filter

math.AG2026

k-Wahl chains and cyclic quotient singularities

Yusuke Sato

We study two-dimensional cyclic quotient singularities defined by $k$ -Wahl chains, a class of Hirzebruch--Jung continued fractions obtained inductively starting from $[k + 2]$ . This…

math.AG2026

Special vs Essential

Yukari Ito, Kohei Sato, Yusuke Sato

We show a correspondence between the compact exceptional curves and divisors on $G - Hilb (C^{3})$ and some non-trivial irreducible representations of $G \subset G L (n, C)$ …

math.AG2020

Existence of Crepant resolutions for two-parameter Gorenstein Cyclic Quotient Singularities

Yusuke Sato

In this paper, we show a condition for two-parameter Gorenstein cyclic quotient singularities to have a crepant resolution by using the remainder polynomial in any dimension.

math.AG2020

Crepant Property of Fujiki-Oka Resolutions for Gorenstein Abelian Quotient Singularities

Kohei Sato, Yusuke Sato

We show a sufficient condition for Fujiki-Oka resolutions of Gorenstein abelian quotient singularities to be crepant in all dimensions by using Ashikaga's continuous fractions. Mor…