Pseudo-effective line bundles over holomorphically convex manifolds

Meng, Xiankui; Zhou, Xiangyu

doi:10.1090/jag/714

Authors: Xiankui Meng and Xiangyu Zhou
Journal: J. Algebraic Geom. 28 (2019), 169-200
DOI: https://doi.org/10.1090/jag/714
Published electronically: October 16, 2018
MathSciNet review: 3875365
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Abstract | References | Additional Information

Abstract: In the present paper, we consider the pseudo-effective line bundles over holomorphically convex manifolds and obtain some results related to the vanishing, finiteness, and surjectivity of analytic cohomology groups with multiplier ideal sheaves.

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Additional Information

Xiankui Meng
Affiliation: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People’s Republic of China; Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People’s Republic of China
Email: mengxiankui@amss.ac.cn

Xiangyu Zhou
Affiliation: Institute of Mathematics, AMSS, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China – and – School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
MR Author ID: 260186
Email: xyzhou@math.ac.cn

Received by editor(s): January 27, 2017
Received by editor(s) in revised form: July 16, 2017, August 10, 2017, August 15, 2017, September 11, 2017, and November 2, 2017
Published electronically: October 16, 2018
Additional Notes: The first author was partially supported by NSFC-11771231. The second author was partially supported by NSFC-11431013.
Article copyright: © Copyright 2018 University Press, Inc.