Geodesic
The Hilbert-Chow morphism and the incidence divisor
Documenta mathematica, Tome 16 (2011), pp. 513-543.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For a smooth projective variety $P$ of dimension $n$, we construct a Cartier divisor supported on the incidence locus in the product of Chow varieties $\mathscr{C}_a (P) \times \mathscr{C}_{n -a - 1}(P)$. 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 Barry Mazur.
Classification : 14C05
Keywords: Chow variety, Hilbert scheme 
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     author = {Ross, Joseph},
     title = {The {Hilbert-Chow} morphism and the incidence divisor},
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     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a18/}
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Ross, Joseph. The Hilbert-Chow morphism and the incidence divisor. Documenta mathematica, Tome 16 (2011), pp. 513-543. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a18/