@article{01e47f313a4e48e7bfa84c7ad835a7d1,
title = "A vanishing theorem of Koll{\'a}r–Ohsawa type",
abstract = "For proper surjective holomorphic maps from K{\"a}hler manifolds to analytic spaces, we give a decomposition theorem for the cohomology groups of the canonical bundle twisted by Nakano semi-positive vector bundles by means of the higher direct image sheaves, by using the theory of harmonic integrals developed by Takegoshi. As an application, we prove a vanishing theorem of Koll{\'a}r–Ohsawa type by combining the L2-method for the ∂¯ -equation.",
keywords = "58A14, Primary 32L20, Secondary 14C30",
author = "Matsumura, {Shin ichi}",
note = "Funding Information: The author would like to thank Professors Osamu Fujino and Taro Fujisawa for reading the draft and giving useful comments. He is supported by the Grant-in-Aid for Young Scientists (B) 25800051 from JSPS. Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",
year = "2016",
month = dec,
day = "1",
doi = "10.1007/s00208-016-1371-8",
language = "English",
volume = "366",
pages = "1451--1465",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer New York",
number = "3-4",
}