中文

Enumerative Geometry on KSBA moduli spaces

代数几何 2026-05-20 v1

摘要

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.

关键词

引用

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

备注

21 pages, comments are welcome