# A vanishing theorem of Kollár–Ohsawa type

8 被引用数 (Scopus)

## 抄録

For proper surjective holomorphic maps from Kähler 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 Kollár–Ohsawa type by combining the L2-method for the ∂¯ -equation.

本文言語 English 1451-1465 15 Mathematische Annalen 366 3-4 https://doi.org/10.1007/s00208-016-1371-8 Published - 2016 12月 1

• 数学 (全般)

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