Generalized Albanese morphisms
Algebraic Geometry
2007-05-23 v2
Abstract
We define generalizations of the Albanese variety for a projective variety X. The generalized Albanese morphisms X --> Alb_r(X) contract those curves C in X for which the induced morphism Hom(\pi_1(X),U(r)) --> Hom(\pi_1(C),U(r)) has a finite image. Thus, they may be interpreted as a U(r)-version of the Shafarevich morphism.
Keywords
Cite
@article{arxiv.math/0304057,
title = {Generalized Albanese morphisms},
author = {Georg Hein},
journal= {arXiv preprint arXiv:math/0304057},
year = {2007}
}
Comments
15 pages, LaTeX, major revision, the paper has been completely rewritten and greatly expanded compared to the previous version