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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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

Related publications

inJournal
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