Derived category of coherent systems on curves and stability conditions

Published 3 Nov 2025 in math.AG | (2511.01601v1)

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.

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