COHOMOLOGY ON NEIGHBORHOODS OF NON-PLURIHARMONIC LOCI IN PSEUDOCONVEX KÄHLER MANIFOLDS

DOI10.2206/kyushujm.75.323zbMath1487.32139OpenAlexW3204038190MaRDI QIDQ5030135

Yuta Watanabe

Publication date: 15 February 2022

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.75.323

zbMATH Keywords

cohomologyvector bundlescompact Kähler manifolds\(q\)-complete Kähler manifolds

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05)

Cites Work

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• Isomorphism theorems for cohomology groups of weakly 1-complete manifolds
• Cohomology of vector bundles and non-pluriharmonic loci
• Cohomology of non-pluriharmonic loci
• $L^{2}$ Serre duality on domains in complex manifolds and applications
• Théorèmes de finitude pour la cohomologie des espaces complexes
• An extension theorem of holomorphic functions on hyperconvex domains
• Toroidal groups. Line bundles, cohomology and quasi-Abelian varieties

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