Arakelov type inequalities for Hodge bundles over algebraic varieties, Part I: Hodge bundles over algebraic curves
Authors:
Jürgen Jost and Kang Zuo
Journal:
J. Algebraic Geom. 11 (2002), 535546
DOI:
https://doi.org/10.1090/S1056391102002990
Published electronically:
February 13, 2002
MathSciNet review:
1894937
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Abstract  References  Additional Information
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 YangMills metric.

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Additional Information
Jürgen Jost
Affiliation:
Max Planck Institute for Mathematics, Inselstrasse 2226, D04103 Leipzig, Germany
Email:
jost@mis.mpg.de
Kang Zuo
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T. Hong Kong
MR Author ID:
269893
Email:
kzuo@math.cuhk.edu.hk
Received by editor(s):
December 2, 1999
Received by editor(s) in revised form:
October 17, 2000
Published electronically:
February 13, 2002
Additional Notes:
The second author was supported by a Heisenberg fellowship of the DFG