English

Hilbert schemes of points and Fulton-MacPherson compactifications

Algebraic Geometry 2025-01-15 v1

Abstract

We relate Hilbert schemes of points and Fulton-MacPherson compactifications by an interpolating stability condition. We then derive wall-crossings formulas and some applications for the enumerative geometry of Hilbert schemes.

Keywords

Cite

@article{arxiv.2501.08269,
  title  = {Hilbert schemes of points and Fulton-MacPherson compactifications},
  author = {Denis Nesterov},
  journal= {arXiv preprint arXiv:2501.08269},
  year   = {2025}
}

Comments

46 pages

R2 v1 2026-06-28T21:06:10.149Z