Derived category of coherent systems on curves and stability conditions

Abstract

Let $C$ be a smooth projective curve of genus $g>0$. We describe an open locus of Bridgeland stability conditions on the bounded derived category of coherent systems on $C$, and show that stability manifold detects the Brill--Noether theory of the curve.

Typos corrected, appendix on elliptic curves added. 38 pages