The Hilbert-Chow morphism and the incidence divisor: Zero-cycles and divisors

作者：Ross Joseph^*

来源：Journal of Pure and Applied Algebra, 2011, 215(11): 2586-2599.

DOI：10.1016/j.jpaa.2011.03.001

For a smooth projective variety X of dimension n, on the product of Chow varieties C(a)(X) x C(n-a-1) (X) parameterizing pairs (A, B) of an a-cycle A and an (n - a - 1)-cycle B in X, Barry Mazur raised the problem of constructing a Cartier divisor supported on the locus of pairs with A boolean AND B not equal empty set. We introduce a new approach to this problem, and new techniques supporting this approach.

• 出版日期2011-11