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MiS Preprint
13/2000

Arakelov type inequalities for Hodge bundles over algebraic varieties. Part I: Hodge bundles over algebraic curves

Jürgen Jost and Kang Zuo

Abstract

We prove Arakelov inequalities for systems of Hodge bundles over algebraic varieties, generalizing the classical ones for families of semistable curves and abelian varieties. These inequalities are derived from the semistability of an associated Higgs bundle, a consequence of the existence of a Hermitian Yang-Mills metric.

Received:
Feb 29, 2000
Published:
Feb 29, 2000

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2002 Repository Open Access
Jürgen Jost and Kang Zuo

Arakelov type inequalities for Hodge bundles over algebraic varieties. Pt. I. Hodge bundles over algebraic curves

In: Journal of algebraic geometry, 11 (2002) 3, pp. 535-546