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Intersection numbers on the relative Hilbert schemes of points on surfaces (1504.01107v2)
Published 5 Apr 2015 in math.AG
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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