Theta line bundles and the determinant of the Hodge bundle
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
In this note we examine the question of expressing the determinant of the push forward of a symmetric line bundle on an abelian fibration in terms of the pull back of the relative dualizing sheaf via the zero section.
Cite
@article{arxiv.alg-geom/9604017,
title = {Theta line bundles and the determinant of the Hodge bundle},
author = {Alexis Kouvidakis},
journal= {arXiv preprint arXiv:alg-geom/9604017},
year = {2008}
}
Comments
In the new version of the paper we examine the more general question of expressing the determinant of the push forward of a symmetric line bundle on a complex abelian fibration in terms of the pull back of the relative dualizing sheaf via the zero section. Also, an alternative proof of the main theorem of the replaced version is included LATEX 2.09