The Hilbert-Chow Morphism and the Incidence Divisor
نویسندگان
چکیده
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. 2010 Mathematics Subject Classification: Primary 14C05
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