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arXiv · 1009.5898

The Hilbert-Chow morphism and the incidence divisor

Joseph Ross
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Abstract

For a smooth projective variety $P$, we construct a Cartier divisor supported on the incidence locus in $\mathscr{C}_a (P) \times \mathscr{C}_{\dim(P)-a-1}(P)$. There is a natural definition of the corresponding line bundle on a product of Hilbert schemes, and we show this bundle descends to the Chow varieties. This answers a question posed by Mazur.

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Joseph Ross. 2010-09-29. The Hilbert-Chow morphism and the incidence divisor. https://arxiv.org/abs/1009.5898

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