Holomorphic projective structures on compact complex surfaces

DOI10.1007/BF01387081zbMath0412.32026OpenAlexW2044651712WikidataQ126112319 ScholiaQ126112319MaRDI QIDQ1260237

Takushiro Ochiai, Shoshichi Kobayashi

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/163391

zbMATH Keywords

characterisation as projective spacecompact complex analytic surfacesholomorphic projective structures

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Compact complex surfaces (32J15) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (33)

Geometric structures on curves and complex surfaces ⋮ Special birational structures on non-Kählerian complex surfaces ⋮ Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds ⋮ Structures holomorphiquement projectives III. Structures plates et invariantes sur des variétés homogènes ⋮ Deformation theory of holomorphic Cartan geometries ⋮ Compact quotients with positive algebraic dimensions of large domains in a complex projective 3-space ⋮ Projective uniformization, extremal Chern classes and quaternionic Shimura curves ⋮ Holomorphic projective connections on compact complex threefolds ⋮ On Kähler metrisability of two-dimensional complex projective structures ⋮ Affine connections on complex compact surfaces and Riccati distributions ⋮ Projective and affine transformations of a complex symmetric connection ⋮ Left invariant flat projective structures on Lie groups and prehomogeneous vector spaces ⋮ A direct approach to quaternionic manifolds ⋮ Unnamed Item ⋮ Frobenius-Ehresmann structures and Cartan geometries in positive characteristic ⋮ Proper quasi-homogeneous domains in flag manifolds and geometric structures ⋮ Projective manifolds modeled after hyperquadrics ⋮ On discrete groups of automorphisms of \({\mathbb P^2_\mathbb C}\) ⋮ Generalized holomorphic Cartan geometries ⋮ Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective ⋮ From non-Kählerian surfaces to Cremona group of \(\mathbb{P}^2(\mathbb{C})\) ⋮ Rigidity of complex convex divisible sets ⋮ Holomorphic geometric structures on Kähler-Einstein manifolds ⋮ Classification of flat pencils of foliations on compact complex surfaces ⋮ Characteristic forms of complex Cartan geometries ⋮ On the Weyl tensor of a self-dual complex 4-manifold ⋮ Holomorphic \(\operatorname{GL}_2(\mathbb{C})\)-geometry on compact complex manifolds ⋮ Logarithmic Cartan geometry on complex manifolds ⋮ PROJECTIVE STRUCTURES AND -CONNECTIONS ⋮ On characteristic forms on complex manifolds ⋮ On complex compact parallelizable manifolds admitting affine structures ⋮ Differential operators on complex manifolds with a flat projective structure ⋮ Holomorphic structures modeled after hyperquadrics

Cites Work

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• On compact complex analytic surfaces. I
• Pluricanonical systems on algebraic surfaces of general type
• Variétés kählériennes compactes
• SOME CHARACTERIZATIONS OF COMPLEX SPACE FORMS IN TERMS OF CHERN CLASSES
• Kähler metrics on elliptic surfaces
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On Uniformization of Complex Manifolds: The Role of Connections. (MN-22)
• On the Structure of Compact Complex Analytic Surfaces, I

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