Algebraic structures on certain 3-folds

DOI10.1007/BF01458021zbMath0594.14032MaRDI QIDQ1076758

Thomas Peternell

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164091

zbMATH Keywords

extremal raysmodificationscharacterization of complex projective 3-spaceMoishezon 3-fold

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) (3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20) Compact complex surfaces (32J15) Topological properties in algebraic geometry (14F45)

Related Items (4)

Characterizations of \({\mathbb{P}}^ 3\) and hyperquadrics \(Q^ 3\) in \({\mathbb{P}}^ 4\) ⋮ A subadjunction formula and Moishezon fourfolds homeomorphic to \(\mathbb{P}^ 4_{\mathbb{C}}\) ⋮ Moishezon fourfolds homeomorphic to \(Q_{\mathbb{C}}^ 4\) ⋮ Singular surfaces and the rigidity of \({\mathbb{P}}_ 3\)

Cites Work

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• On the complex projective spaces
• A rigidity theorem for \({\mathbb{P}}_ 3({\mathbb{C}})\)
• Algebraicity criteria for compact complex manifolds
• Projective manifolds with ample tangent bundles
• Ein Satz über die komplexen Quadriken
• Variétés de Prym et jacobiennes intermédiaires
• Threefolds whose canonical bundles are not numerically effective

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