Geodesic
The Hilbert-Chow morphism and the incidence divisor
Documenta mathematica, Tome 16 (2011), pp. 513-543
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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 Ca​(P)×Cn−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.
DOI : 10.4171/dm/340
Classification : 14C05
Mots-clés : Hilbert scheme, Chow variety 
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     author = {Joseph Ross},
     title = {The {Hilbert-Chow} morphism and the incidence divisor},
     journal = {Documenta mathematica},
     pages = {513--543},
     year = {2011},
     volume = {16},
     doi = {10.4171/dm/340},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/340/}
}
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Joseph Ross. The Hilbert-Chow morphism and the incidence divisor. Documenta mathematica, Tome 16 (2011), pp. 513-543. doi: 10.4171/dm/340

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