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Arakelov type inequalities for Hodge bundles over algebraic varieties, Part I: Hodge bundles over algebraic curves
Author(s):
Jürgen
Jost;
Kang
Zuo
Journal:
J. Algebraic Geom.
11
(2002),
535-546.
Posted:
February 13, 2002
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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 semi-stable curves and abelian varieties. These inequalities are derived from the semi-stability of an associated Higgs bundle, a consequence of the existence of a Hermitian Yang-Mills metric.
References:
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Additional Information:
Jürgen
Jost
Affiliation:
Max Planck Institute for Mathematics, Inselstrasse 22-26, D-04103 Leipzig, Germany
Email:
jost@mis.mpg.de
Kang
Zuo
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T. Hong Kong
Email:
kzuo@math.cuhk.edu.hk
PII:
S 1056-3911(02)00299-0
Received by editor(s):
December 2, 1999
Received by editor(s) in revised form:
October 17, 2000
Posted:
February 13, 2002
Additional Notes:
The second author was supported by a Heisenberg fellowship of the DFG
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