Preprint No. A-03-03

Georg Hein

Generalized Albanese morphisms

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: Moduli spaces, vector bundles, Albanese variety, algebraic surfaces, fundamental group, Shafarevich morphism

Mathematics Subject Classification (MSC2000): 14D20, 14E05

Language: ENG

Available: Pr-A-03-03.ps

Contact: Georg Hein, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (ghein@math.fu-berlin.de)

[Home Page] - [Up] - [Search] - [Help] - Created: 20030328 -