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

1997/12/15 by Hélène Esnault, V. Srinivas, Esnault, Hélène +3
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9712015

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arxiv created 1997/12/15 · openalex publication_date 1997/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the existence of a regular universal quotient as a smooth commutative\nalgebraic group of the Chow group of 0-cycles on a projective reduced variety,\nand give over the field of complex numbers an analytic description of it. This\ngeneralizes the classical theory of the Albanese. The Chow group of 0-cycles is\nthen isomorphic to this smooth algebraic group if and only if it is finite\ndimensional in the sense of Mumford. This generalizes the classical theorem of\nRoitman.\n

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