The Hilbert-Chow morphism and the incidence divisor

Details The Hilbert-Chow morphism and the incidence divisor The Hilbert-Chow morphism and the incidence divisor

2010-09-29

arxiv.org/abs/1009.5898v1

Mathematics

Algebraic Geometry

Scientific paper

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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