Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

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), 535-546
DOI: https://doi.org/10.1090/S1056-3911-02-00299-0
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 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.


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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

DOI: https://doi.org/10.1090/S1056-3911-02-00299-0
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

American Mathematical Society