Yusuke Sato

collaborators

3 papers

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.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.NT2025

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…