English

Stability conditions on the canonical line bundle of $\mathbb{P}^3$

Algebraic Geometry 2025-01-28 v1

Abstract

We study the space of stability conditions on the total space of the canonical line bundle over the three dimensional projective space. We construct a family of geometric stability conditions and some subset of the boudary of them, which are algebraic. We also use spherical twists to construct some other stability conditions.

Keywords

Cite

@article{arxiv.2501.15251,
  title  = {Stability conditions on the canonical line bundle of $\mathbb{P}^3$},
  author = {Tianle Mao},
  journal= {arXiv preprint arXiv:2501.15251},
  year   = {2025}
}