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The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold
Author(s):
Jürgen
Jost;
Yi-Hu
Yang;
Kang
Zuo
Journal:
J. Algebraic Geom.
16
(2007),
401-434.
Posted:
April 5, 2007
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Abstract |
References |
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Abstract:
In this article, we consider the cohomologies with coefficients in a variation of polarized Hodge structures on a quasi-compact Kaehler manifold. We show that the  -Dolbeault cohomology can be identified with the  cohomology; we also give several direct applications of the result above.
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Additional Information:
Jürgen
Jost
Affiliation:
Max-Planck Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig, Germany
Email:
jjost@mis.mpg.de
Yi-Hu
Yang
Affiliation:
Department of Mathematics, Tongji University, Shanghai 200092, China
Email:
yhyang@mail.tongji.edu.cn
Kang
Zuo
Affiliation:
Department of Mathematics, University of Mainz, 55128 Mainz, Germany
Email:
zuok@uni-mainz.de
PII:
S 1056-3911(07)00468-7
Received by editor(s):
March 1, 2005
Received by editor(s) in revised form:
December 6, 2006
Posted:
April 5, 2007
Additional Notes:
The second author was partially supported by the NSF of China (No.10471105), ``Shuguang Project'' of the Committee of Education of Shanghai (04SG21). The third author was partially supported by the ``DFG-Schwerpunktprogramm Globale Methoden in Komplexen Geometrie''.
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