Albanese varieties with modulus and Hodge theory
Algebraic Geometry
2009-06-02 v1 Number Theory
Abstract
Let X be a proper smooth variety over the complex numbers. We consider the generalized Albanese variety Alb(X,Y) of X of modulus Y, which is a higher dimensional analogue of the generalized Jacobian variety with modulus of Rosenlicht-Serre. Note that the divisor Y can have multiplicity, so the algebraic group Alb(X,Y) can have an additive part. The purpose of this paper is to give Hodge theoretic presentations of Alb(X,Y).
Cite
@article{arxiv.0906.0047,
title = {Albanese varieties with modulus and Hodge theory},
author = {Kazuya Kato and Henrik Russell},
journal= {arXiv preprint arXiv:0906.0047},
year = {2009}
}
Comments
18 pages