Fujita decomposition over higher dimensional base

TL;DR

This paper extends Fujita's decomposition theorem for Hodge bundles from curves to higher dimensional bases, broadening the understanding of Hodge bundle structures in complex geometry.

Contribution

It introduces a generalized Fujita decomposition applicable to higher dimensional bases, expanding the scope of previous results.

Findings

Fujita decomposition is valid over higher dimensional bases.

The generalization provides new tools for studying Hodge bundles.

Potential applications in algebraic geometry and complex manifolds.

Abstract

We generalize a result of Fujita, on the decomposition of Hodge bundles over curves, to the case of a higher dimensional base.