English

Enumerative Geometry on KSBA moduli spaces

Algebraic Geometry 2026-05-20 v1

Abstract

We survey two new compactification methods for the KSBA moduli space of general type surfaces so that both of them admit a perfect obstruction theory. Virtual fundamental classes exist on these two moduli spaces, and tautological invariants can be defined on KSBA moduli spaces. This is the starting point to do enumerative geometry on KSBA moduli spaces, and we include some discussions in this direction.

Keywords

Cite

@article{arxiv.2605.19923,
  title  = {Enumerative Geometry on KSBA moduli spaces},
  author = {Yunfeng Jiang},
  journal= {arXiv preprint arXiv:2605.19923},
  year   = {2026}
}

Comments

21 pages, comments are welcome