English

On the group of zero-cycles of holomorphic symplectic varieties

Algebraic Geometry 2024-03-14 v3

Abstract

For a moduli space of Bridgeland-stable objects on a K3 surface, we show that the Chow class of a point is determined by the Chern class of the corresponding object on the surface. This establishes a conjecture of Junliang Shen, Qizheng Yin, and the second author.

Keywords

Cite

@article{arxiv.1711.10045,
  title  = {On the group of zero-cycles of holomorphic symplectic varieties},
  author = {Alina Marian and Xiaolei Zhao},
  journal= {arXiv preprint arXiv:1711.10045},
  year   = {2024}
}