5 papers
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…
A Note on Categorical Entropy of Bielliptic Surfaces and Enriques Surfaces
Tomoki Yoshida
In this note, we show that there exists an autoequivalence of positive categorical entropy on the derived category of bielliptic surfaces. This gives the first example of a surface…
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…
A simple derived categorical generalization of Ulrich bundles
Tomoki Yoshida
We define special objects, Ulrich objects, on a derived category of polarized smooth projective variety as a generalization of Ulrich bundles to the derived category. These are def…
Bridgeland Stability of Sheaves on del Pezzo Surface of Picard Rank Three
Yuki Mizuno, Tomoki Yoshida
This article discusses the Bridgeland stability of some sheaves on the blow-up of at two general points. We have determined the destabilizing objects of the line b…