On the cohomological completeness of q-complete domains with corners

DOI10.1017/S0027763000008382zbMath1038.32020OpenAlexW1756728842MaRDI QIDQ4431462

Kazuko Matsumoto

Publication date: 22 October 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1114631783

zbMATH Keywords

vanishing of cohomology\(q\)-convexity\(q\)-complete domains with corners

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Vanishing theorems (32L20)

Related Items (2)

Analytic cohomology groups in top degrees of Zariski open sets in \({\mathbb{P}^n}\) ⋮ On the intersection of \((n-1)\)-complete open subsets with \(\mathcal {C}^2\) boundary in \(\mathbb {C}^n\)

Cites Work

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• Smoothing q-convex functions and vanishing theorems
• Cohomologically complete and pseudoconvex domains
• Embedding of open Riemannian manifolds by harmonic functions
• Boundary distance functions and \(q\)-convexity of pseudoconvex domains of general order in Kähler manifolds
• Pseudoconvex domains of general order in Stein manifolds
• q-Complete Spaces and Cohomology

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