English

Towards a Combinatorial Description of the Intersection Product on $\mathbb{P}^{2[N]}$

Algebraic Geometry 2018-01-17 v1

Abstract

We prove that there is an algorithm to compute the class of the intersection of the divisor of schemes incident to a fixed line with any other class of a basis of the Chow ring A(P2[N])A^*(\mathbb{P}^{2[N]}) due to Mallavibarrena and Sols. This is progress towards a combinatorial description of the intersection product on the Hilbert scheme of points in the projective plane.

Keywords

Cite

@article{arxiv.1801.05371,
  title  = {Towards a Combinatorial Description of the Intersection Product on $\mathbb{P}^{2[N]}$},
  author = {Alexander Stathis},
  journal= {arXiv preprint arXiv:1801.05371},
  year   = {2018}
}
R2 v1 2026-06-22T23:47:02.185Z