Kähler metrics on elliptic surfaces

DOI10.3792/pja/1195518827zbMath0354.32011OpenAlexW2072801005MaRDI QIDQ4125104

Yoichi Miyaoka

Publication date: 1974

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518827

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15) Complex manifolds (32Q99)

Related Items (26)

Neron-Severi group for nonalgebraic elliptic surfaces. II: Non-Kählerian case ⋮ Stable bundles with torsion Chern classes on non-Kählerian elliptic surfaces ⋮ Bott-Chern and \(\bar{\partial}\) harmonic forms on almost Hermitian 4-manifolds ⋮ Metrics of nonnegative scalar curvature on surfaces of Kähler type ⋮ On a class of Hermitian manifolds ⋮ Generic Torelli and local Schottky theorems for Jacobian elliptic surfaces ⋮ Compatible complex structures on twistor space ⋮ On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds ⋮ Parabolic bundles, elliptic surfaces and \(SU(2)\)-representation spaces of genus zero Fuchsian groups ⋮ On non-Kähler degrees of complex manifolds ⋮ Extension theorems for Kähler metrics ⋮ On the Chern numbers of surfaces of general type ⋮ Kählerian normal complex surfaces ⋮ Ricci-flat metrics and dynamics on \(K3\) surfaces ⋮ Logarithmic transformations on elliptic fiber spaces. II: Elliptic bundle case ⋮ On Bott-Chern cohomology of compact complex surfaces ⋮ Compact differentiable 4-folds with quaternionic structures ⋮ Holomorphic projective structures on compact complex surfaces ⋮ Every K 3 surface is Kähler ⋮ Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces) ⋮ On compact Kähler surfaces ⋮ Holomorphic structures modeled after hyperquadrics ⋮ Plurisubharmonic functions and nef classes on complex manifolds ⋮ An intrinsic characterization of Kähler manifolds ⋮ Neron-Severi group for nonalgebraic elliptic surfaces. I: Elliptic bundle case ⋮ Compact complex surfaces admitting non-trivial surjective endomorphisms

Cites Work

• Unnamed Item
• On elliptic modular surfaces
• On compact analytic surfaces. II
• Extension theorems for Kähler metrics
• Elliptic Curves and Wild Ramification

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