Albanese varieties of singular varieties over a perfect field

Details Albanese varieties of singular varieties over a perfect field Albanese varieties of singular varieties over a perfect field

2011-02-11

arxiv.org/abs/1102.2278v1

Mathematics

Algebraic Geometry

27 pages

Scientific paper

Let X be a projective variety, possibly singular. A generalized Albanese variety of X was constructed by Esnault, Srinivas and Viehweg over algebraically closed base field as a universal regular quotient of the relative Chow group of 0-cycles by Levine-Weibel. In this paper, we obtain a functorial description of the Albanese of Esnault-Srinivas-Viehweg over a perfect base field, using duality theory of 1-motives with unipotent part.

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