Generalized Albanese and its dual
Algebraic Geometry
2009-05-25 v3
Abstract
We consider categories of rational maps to algebraic groups and study existence and construction of universal objects for such categories, using the duality theory of Laumon 1-motives. In particular, we obtain functorial descriptions of the Albanese of a singular projective variety X over an algebraically closed field of characteristic zero, which is the universal regular quotient of a relative Chow group of points on X, and of its dual.
Cite
@article{arxiv.math/0606250,
title = {Generalized Albanese and its dual},
author = {Henrik Russell},
journal= {arXiv preprint arXiv:math/0606250},
year = {2009}
}
Comments
updated and shortened version