Chunyi Li

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20232026

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math.AG2026

A Remark on Stability Conditions on Smooth Projective Varieties

Chunyi Li

Let $X$ be a smooth projective variety over $C$ . In this paper, we prove that $D^{b} (X)$ , the bounded derived category of coherent sheaves on $X$ , always admits stab…

math.AG2025

A Real Reduction of the Manifold of Bridgeland Stability Conditions

Chunyi Li

Let $T$ be a $k$ -linear triangulated category. The space of Bridgeland stability conditions on $T$ , denoted by $Stab (T)$ , forms a complex man…

math.AG2023

A Note on Spherical Bundles on K3 Surfaces

Chunyi Li, Shengxuan Liu

Some questions are posted at the end of Chapter 16 of Huybrechts' book 'Lectures on K3 Surfaces', concerning the bounded derived category of a K3 surface $D^{b} (S)$ . Let $E$ be a sph…