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arXiv · 1812.06129

Enumera\c{c}\~ao de hipersuperf\'icies com subesquemas singulares

Weversson Dalmaso Sellin
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Abstract

Let $\mathbb{W}$ be an irreducible subvariety a Hilbert scheme $Hilb_{p_W} (t) (\mathbb{P}^n )$. We show that under mild hypothesis there are polynomial formulas for the degrees of the loci of hypersurfaces in $\mathbb{P}^n$ with singular subschemes containing some member of the family $\mathbb{W}$. The formulas are made explicit in a number of cases.

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Weversson Dalmaso Sellin. 2018-12-14. Enumera\c{c}\~ao de hipersuperf\'icies com subesquemas singulares. https://arxiv.org/abs/1812.06129

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