A rigidity theorem for \({\mathbb{P}}_ 3({\mathbb{C}})\)

DOI10.1007/BF01168838zbMath0573.32027OpenAlexW2912455868MaRDI QIDQ1063155

Thomas Peternell

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155061

zbMATH Keywords

Hodge decompositionvery ampleMoishezon manifoldbimeromorphical equivalencenot numerically effective canonical bundle

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Complex-analytic moduli problems (32G13) (3)-folds (14J30) Compact analytic spaces (32J99) Deformations of complex structures (32G05)

Related Items

Algebraic structures on certain 3-folds, Characterizations of \({\mathbb{P}}^ 3\) and hyperquadrics \(Q^ 3\) in \({\mathbb{P}}^ 4\), Hodge numbers of a hypothetical complex structure on \(S^{6}\), A subadjunction formula and Moishezon fourfolds homeomorphic to \(\mathbb{P}^ 4_{\mathbb{C}}\), Moishezon fourfolds homeomorphic to \(Q_{\mathbb{C}}^ 4\)

Cites Work

• Unnamed Item
• On the complex projective spaces
• Elementary contractions of algebraic 3-folds
• The cone of curves of algebraic varieties
• Algebraicity criteria for compact complex manifolds
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Ample vector bundles
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• On the Finiteness of Generators of a Pluri-Canonical Ring for a 3-Fold of General Type
• Vanishing theorems.
• Calabi's conjecture and some new results in algebraic geometry
• On Self-Intersection Number of a Section on a Ruled Surface
• Threefolds whose canonical bundles are not numerically effective