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

Hélène Esnault; V. Srinivas; Eckart Viehweg

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arXiv · alg-geom/9712015

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

Hélène Esnault·V. Srinivas·Eckart Viehweg

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Abstract

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.

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BibTeX RIS

Hélène Esnault, V. Srinivas, Eckart Viehweg. 1997-12-15. The universal regular quotient of the Chow group of 0-cycles on a singular projective variety. https://arxiv.org/abs/alg-geom/9712015

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