Yusuke Sato

activity

20202026

most citedCrepant Property of Fujiki-Oka Resolutions for Gorenstein Abelian Quotient Singularities

4 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

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.NT2024

SL(2,Z)-matrixizations of generalized Markov numbers

Yasuaki Gyoda, Shuhei Maruyama, Yusuke Sato

For $k \geq 0$ , a $k$ -generalized Markov number is an integer which appears in some positive integer solution to the $k$ -generalized Markov equation $x^2 + y^2 + z^2 + k(yz + zx + x…

math.AG2023

A weak version of the McKay correspondence for cyclic quotient singularities

Yusuke Sato

Let G be a finite subgroup of SL(n,C). If a quotient variety C^n/G has a crepant resolution, then its Euler number equals to the number of conjugacy classes of G, which is a weak v…

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★ 4 cited

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…