Theta line bundles and the determinant of the Hodge bundle

Mathematics – Algebraic Geometry

Scientific paper

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In the new version of the paper we examine the more general question of expressing the determinant of the push forward of a sy

Scientific paper

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.

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