Structure Theorems for Compact Kähler Manifolds with Nef Anticanonical Bundles

DOI10.1007/978-4-431-55744-9_8zbMath1326.32007OpenAlexW2290198929MaRDI QIDQ3448904

Jean-Pierre Demailly

Publication date: 27 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-55744-9_8

zbMATH Keywords

compact Kähler manifoldrationally connected varietyRicci flat manifoldanticanonical bundleholonomy principlesemipositive Ricci curvature

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05)

Related Items (5)

Quot schemes and Ricci semipositivity ⋮ On the volume of a pseudo-effective class and semi-positive properties of the Harder–Narasimhan filtration on a compact Hermitian manifold ⋮ Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points ⋮ HIGHER CODIMENSIONAL UEDA THEORY FOR A COMPACT SUBMANIFOLD WITH UNITARY FLAT NORMAL BUNDLE ⋮ Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Manifolds with nef anticanonical bundle
• Variétés kähleriennes dont la première classe de Chern est nulle
• On the neighborhood of a compact complex curve with topologically trivial normal bundle
• Recent results in complex differential geometry
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Bifurcations of invariant manifolds of differential equations and normal forms in neighborhoods of elliptic curves
• On the numerically effective compact Kähler manifolds of Ricci class
• On the structure of spaces with Ricci curvature bounded below. III
• Threefolds with nef anticanonical bundles
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• On projective varieties with nef anticanonical divisors
• Variétés kähleriennes et premiere classe de Chern
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)
• On the structure of complete manifolds of nonnegative curvature
• Sur la réductibilité d'un espace de Riemann
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• ON THE DECOMPOSITION OF KÄHLER MANIFOLDS WITH TRIVIAL CANONICAL CLASS
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Sur le groupe fondamental des variétés kählériennes compactes à classe de Ricci numériquement effective
• Relative adjoint transcendental classes and Albanese maps of compact Kaehler manifolds with nef Ricci curvature
• On the Albanese maps of compact Kähler manifolds
• Families of rationally connected varieties
• PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS
• On projective manifolds with nef anticanonical bundles.
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Connexité rationnelle des variétés de Fano
• KODAIRA DIMENSION OF SUBVARIETIES II
• Curvature and Betti Numbers. (AM-32)
• On the Albanese map of compact Kähler manifolds with numerically effective Ricci curvature

This page was built for publication: Structure Theorems for Compact Kähler Manifolds with Nef Anticanonical Bundles