English

Derived category of coherent systems on curves and stability conditions

Algebraic Geometry 2025-11-04 v1

Abstract

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

Keywords

Cite

@article{arxiv.2511.01601,
  title  = {Derived category of coherent systems on curves and stability conditions},
  author = {Soheyla Feyzbakhsh and Aliaksandra Novik},
  journal= {arXiv preprint arXiv:2511.01601},
  year   = {2025}
}

Comments

34 pages. Comments welcome!