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A note on stability conditions on projective spaces

Algebraic Geometry 2026-07-06 v1

Abstract

We give a new proof of Li's theorem on the existence of geometric Bridgeland stability conditions on the bounded derived category of coherent sheaves on projective spaces. These stability conditions can then be restricted to induce Bridgeland stability conditions on arbitrary smooth projective varieties.

Cite

@article{arxiv.2607.05344,
  title  = {A note on stability conditions on projective spaces},
  author = {Yiran Cheng},
  journal= {arXiv preprint arXiv:2607.05344},
  year   = {2026}
}

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5 pages