3 papers
math.AG2026
A note on stability conditions on projective spaces
Yiran Cheng
We give a new proof of Li's theorem on the existence of geometric Bridgeland stability conditions on the bounded derived category of coherent sheaves on projective spaces. These st…
math.AG2026
Stability conditions on threefolds
Yiran Cheng, Soheyla Feyzbakhsh
We investigate a subspace of Bridgeland stability conditions on $\PP^n$ satisfying the so-called Li condition. These are the stability conditions whose restriction to a smooth proj…
math.AG2025
Bridgeland stability conditions on some higher-dimensional Calabi--Yau manifolds and generalized Kummer varieties
Yiran Cheng
We construct Bridgeland stability conditions on the the following hyper-Kähler or strict Calabi--Yau manifolds: - Generalized Kummer varieties associated to an abelian surface tha…