A Remark on Stability Conditions on Smooth Projective Varieties

Abstract

Let $X$ be a smooth projective variety over $\mathbb{C}$. In this paper, we prove that ${\mathrm{D}}^b(X)$, the bounded derived category of coherent sheaves on $X$, always admits stability conditions in the sense of Bridgeland.

15 pages, comments are very welcome!