COHOMOLOGY ON NEIGHBORHOODS OF NON-PLURIHARMONIC LOCI IN PSEUDOCONVEX KÄHLER MANIFOLDS
- 1 January 2021
- journal article
- research article
- Published by Faculty of Mathematics, Kyushu University in Kyushu Journal of Mathematics
- Vol. 75 (2), 323-349
- https://doi.org/10.2206/kyushujm.75.323
Abstract
We study the cohomology groups of vector bundles on neighborhoods of non-pluriharmonic loci in q-complete Kähler manifolds and in compact Kähler manifolds. Applying our results, we show variants of the Lefschetz hyperplane theorem.Keywords
This publication has 2 references indexed in Scilit:
- Cohomology of vector bundles and non-pluriharmonic lociMathematische Zeitschrift, 2020
- Cohomology of non-pluriharmonic lociMathematische Zeitschrift, 2019