Albanese varieties of singular varieties over a perfect field
Algebraic Geometry
2011-02-14 v1
Abstract
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.
Cite
@article{arxiv.1102.2278,
title = {Albanese varieties of singular varieties over a perfect field},
author = {Henrik Russell},
journal= {arXiv preprint arXiv:1102.2278},
year = {2011}
}
Comments
27 pages