The Hilbert-Chow morphism and the incidence divisor
Joseph Ross
Universität Duisburg-Essen Campus Essen Fachbereich Mathematik Germany
![The Hilbert-Chow morphism and the incidence divisor cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-dm-volume-16.png&w=3840&q=90)
Abstract
For a smooth projective variety of dimension , we construct a Cartier divisor supported on the incidence locus in the product of Chow varieties . 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.
Cite this article
Joseph Ross, The Hilbert-Chow morphism and the incidence divisor. Doc. Math. 16 (2011), pp. 513–543
DOI 10.4171/DM/340