Minimal models for Kähler threefolds

DOI10.1007/s00222-015-0592-xzbMath1337.32031arXiv1304.4013OpenAlexW2090436055MaRDI QIDQ2634618

Andreas Höring, Thomas Peternell

Publication date: 17 February 2016

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4013

zbMATH Keywords

minimal model programextremal rayterminal singularitynef canonical bundlepseudoeffective canonical bundle

Mathematics Subject Classification ID

Compact complex (3)-folds (32J17) (3)-folds (14J30) Minimal model program (Mori theory, extremal rays) (14E30) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (21)

Scalar curvature, Kodaira dimension and \({{\widehat{A}}} \)-genus ⋮ Smooth and rough positive currents ⋮ Finite quotients of three-dimensional complex tori ⋮ Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank ⋮ On the 4-dimensional minimal model program for Kähler varieties ⋮ On the log abundance for compact Kähler threefolds ⋮ Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds ⋮ Chern Numbers of Uniruled Threefolds ⋮ Adjoint -classes on threefolds ⋮ Kähler structures on spin 6-manifolds ⋮ Equivariant minimal model program ⋮ Algebraic approximation of Kähler threefolds of Kodaira dimension zero ⋮ Compact Kähler threefolds with the action of an abelian group of maximal rank ⋮ MINIMAL MODEL THEORY FOR LOG SURFACES IN FUJIKI’S CLASS ⋮ KAWA lecture notes on the K\"ahler-Ricci flow ⋮ New directions in the minimal model program ⋮ The fundamental group of compact Kähler threefolds ⋮ Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality ⋮ Geometric structures, the Gromov order, Kodaira dimensions and simplicial volume ⋮ On the Iitaka conjecture \(C_{n,m}\) for Kähler fibre spaces ⋮ Lifts of projective bundles and applications to string manifolds

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