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math.AG2026
A construction of smooth varieties admitting small contractions
Yuto Masamura, Tomoki Yoshida
Given a smooth variety together with two smooth subvarieties, we construct, via two successive blowups, smooth varieties admitting small contractions. This generalizes Kawamata's e…
math.AG2026
Categorical Entropies of Hilbert Schemes of Points on Surfaces and Hyperkähler Manifolds
Tomoki Yoshida
This paper studies the categorical entropy of autoequivalences of derived categories of Hilbert schemes of points on surfaces and hyperkähler manifolds. One of the central question…