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arXiv · 1504.01107

Intersection numbers on the relative Hilbert schemes of points on surfaces

Amin Gholampour·Artan Sheshmani
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Abstract

We study certain top intersection products on the Hilbert scheme of points on a nonsingular surface relative to an effective smooth divisor. We find a formula relating these numbers to the corresponding intersection numbers on the non-relative Hilbert schemes. In particular, we obtain a relative version of the explicit formula found by Carlsson-Okounkov for the Euler class of the twisted tangent bundle of the Hilbert schemes.

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Amin Gholampour, Artan Sheshmani. 2015-04-05. Intersection numbers on the relative Hilbert schemes of points on surfaces. https://arxiv.org/abs/1504.01107

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