Weakly 1-complete surfaces with singularities and applications

DOI10.1307/mmj/1231770355zbMath1167.32009OpenAlexW2011594550MaRDI QIDQ1001936

Viorel Vâjâitu, Giuseppe Tomassini

Publication date: 20 February 2009

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

Full work available at URL: https://doi.org/10.1307/mmj/1231770355

zbMATH Keywords

Stein spacecohomologically \(1\)-convex spaceholomorphically convex spaceplurisubharmonic exhaustion function

Mathematics Subject Classification ID

Stein spaces (32E10) Complex surface and hypersurface singularities (32S25) Global theory of complex singularities; cohomological properties (32S20) Other notions of convexity in relation to several complex variables (32F17) Plurisubharmonic exhaustion functions (32U10)

Related Items

Holomorphic convexity of pseudoconvex spaces in terms of the rank of structural sheaf, Minimal Kernels and Compact Analytic Objects in Complex Surfaces, Holomorphic convexity of pseudoconvex surfaces

Cites Work

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• On the neighborhood of a compact complex curve with topologically trivial normal bundle
• Weakly 1-complete manifold and Levi problem
• Invariance of holomorphic convexity under proper mappings
• Every Stein subvariety admits a Stein neighborhood
• The Levi problem on complex spaces with singularities
• Invariance of cohomological \(q\)-completeness under finite holomorphic surjections
• Holomorphic \(q\)-hulls in top degrees
• Supplement to 'Weakly 1-complete manifold and Levi problem'
• Boundary distance functions and \(q\)-convexity of pseudoconvex domains of general order in Kähler manifolds
• Resträume zu analytischen Mengen in Steinschen Räumen
• On the complement of a curve on a Stein space of dimension two
• ON PSEUDOCONVEXITY OF COMPLEX LIE GROUPS