Theta line bundles and the determinant of the Hodge bundle
Abstract
Description
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.
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
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