Yusuke Sato

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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…