The universal regular quotient of the Chow group of 0-cycles on a singular projective variety

Esnault, Hélène; Srinivas, V.; Viehweg, Eckart

The universal regular quotient of the Chow group of 0-cycles on a singular projective variety

Authors

Esnault, Hélène

Srinivas, V.

Viehweg, Eckart

Description

We show the existence of a regular universal quotient as a smooth commutative algebraic group of the Chow group of 0-cycles on a projective reduced variety, and give over the field of complex numbers an analytic description of it. This generalizes the classical theory of the Albanese. The Chow group of 0-cycles is then isomorphic to this smooth algebraic group if and only if it is finite dimensional in the sense of Mumford. This generalizes the classical theorem of Roitman.
Latex 2e