Let k be a commutative ring and let R be a commutative k-algebra. We give a generalization of the Grothendieck-Deligne norm map from \Hilb_A^n to Spec $\Gamma_R^n(A)^{ab} \,$ which specializes to the Hilbert Chow morphism on the geometric points when A is commutative and k is an algebraically closed field.
Representations, symmetric products and Hilbert schemes.
GALLUZZI, Federica;
2008-01-01
Abstract
Let k be a commutative ring and let R be a commutative k-algebra. We give a generalization of the Grothendieck-Deligne norm map from \Hilb_A^n to Spec $\Gamma_R^n(A)^{ab} \,$ which specializes to the Hilbert Chow morphism on the geometric points when A is commutative and k is an algebraically closed field.
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