Derived category of coherent systems on curves and stability conditions

Soheyla Feyzbakhsh; Aliaksandra Novik

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arXiv · 2511.01601

Derived category of coherent systems on curves and stability conditions

Soheyla Feyzbakhsh·Aliaksandra Novik

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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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Soheyla Feyzbakhsh, Aliaksandra Novik. 2025-11-03. Derived category of coherent systems on curves and stability conditions. https://arxiv.org/abs/2511.01601

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