The Hilbert-Chow morphism and the incidence divisor
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2010
- DOI:
- 10.48550/arXiv.1009.5898
- arXiv:
- arXiv:1009.5898
- Bibcode:
- 2010arXiv1009.5898R
- Keywords:
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- Mathematics - Algebraic Geometry