Some remarks about 1-convex manifolds on which all holomorphic line bundles are trivial
type: Item
instance of: scholarly article
title: Some remarks about 1-convex manifolds on which all holomorphic line bundles are trivial
zbMATH Open document ID: 1111.32007
published in: Bulletin des Sciences Mathématiques
publication date: 2006-12-07T00:00:00Z
review text: The author gives an abridged proof of an example in his paper [Rev. Roum. Math. Pures Appl. 43, No. 1--2, 97--104 (1998; Zbl 0932.32018)] of an 1-convex threefold on which every holomorphic line bundle is trivial. He points out several mistakes in the paper by \textit{Vo Van Tan} [Bull. Sci. Math. 129, No. 6, 501--522 (2005; Zbl 1083.32010)] on related topics.
reviewed by: Viorel Vâjâitu
Mathematics Subject Classification ID: 32E05
Mathematics Subject Classification ID: 32J05
Mathematics Subject Classification ID: 32L20
zbMATH DE Number: 5077959
zbMATH Keywords: 1-convex manifold
zbMATH Keywords: Moishezon manifold
author: Mihnea Colţoiu
MaRDI profile type: Publication
full work available at URL: j.bulsci.2006.01.004
OpenAlex ID: W2115226814
cites work: Transforms of currents by modifications and 1-convex manifolds
cites work: Some remarks on algebraic equivalence of cycles
cites work: Q4264636
cites work: Q5611966
cites work: Q5203143
cites work: A generalized Lefschetz theorem
cites work: On 𝑛-dimensional compact complex varieties with 𝑛 algebraically independent meromorphic functions
cites work: Flip Theorem and the Existence of Minimal Models for 3-Folds
cites work: Supplement to ''On the inverse of monoidal transformation''
cites work: On strongly pseudo-convex Kaehler manifolds
cites work: On embeddable 1-convex spaces
cites work: On the quasi-projectivity of compactifiable strongly pseudoconvex manifolds
DOI: 10.1016/J.BULSCI.2006.01.004
description: scientific article; zbMATH DE number 5077959