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arXiv · 1801.05371

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

Alexander Stathis
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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 $A^*(\mathbb{P}^{2[N]})$ 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.

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Alexander Stathis. 2018-01-16. Towards a Combinatorial Description of the Intersection Product on $\mathbb{P}^{2[N]}$. https://arxiv.org/abs/1801.05371

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