The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold

Authors:
Jürgen Jost, Yi-Hu Yang and Kang Zuo

Journal:
J. Algebraic Geom. **16** (2007), 401-434

DOI:
https://doi.org/10.1090/S1056-3911-07-00468-7

Published electronically:
April 5, 2007

MathSciNet review:
2306274

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Abstract | References | Additional Information

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

DOI:
https://doi.org/10.1090/S1056-3911-07-00468-7

Received by editor(s):
March 1, 2005

Received by editor(s) in revised form:
December 6, 2006

Published electronically:
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”.