Algebraic approximation of Kähler threefolds of Kodaira dimension zero

DOI10.1007/s00208-017-1577-4zbMath1405.32022arXiv1601.04307OpenAlexW3102937289MaRDI QIDQ1751033

Patrick Graf

Publication date: 23 May 2018

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

Full work available at URL: https://arxiv.org/abs/1601.04307

zbMATH Keywords

Calabi-Yau threefoldsKähler manifoldsalgebraic approximationKähler groupssmall projective deformations

Mathematics Subject Classification ID

Topological aspects of complex manifolds (32Q55) Minimal model program (Mori theory, extremal rays) (14E30) Compact Kähler manifolds: generalizations, classification (32J27) Deformations of complex structures (32G05)

Related Items

Smooth families of tori and linear Kähler groups ⋮ Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups ⋮ Finite quotients of three-dimensional complex tori ⋮ Rigid group actions on complex tori are projective (after Ekedahl) ⋮ Algebraic approximations of compact Kähler manifolds of algebraic codimension \(1\) ⋮ Compact Kähler threefolds with the action of an abelian group of maximal rank ⋮ Dolbeault cohomologies of blowing up complex manifolds ⋮ The fundamental group of compact Kähler threefolds ⋮ The Kodaira Problem for Kähler Spaces with Vanishing First Chern Class ⋮ Algebraic approximations of fibrations in abelian varieties over a curve ⋮ Equivariant Kuranishi family of complex compact manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the approximation of Kähler manifolds by algebraic varieties
• On the homotopy types of compact Kähler and complex projective manifolds
• Algebraic deformations of compact Kähler surfaces
• On compact analytic threefolds with non-trivial Albanese tori
• On locally trivial deformations
• Variation der globalen Ext in Deformationen kompakter komplexer Räume
• On automorphism groups of compact Kähler manifolds
• Shafarevich maps and plurigenera of algebraic varieties
• Der Satz von Kuranishi für kompakte komplexe Räume
• Global smoothing of Calabi-Yau threefolds
• The fundamental group of compact Kähler threefolds
• Einstein manifolds
• Algebraic deformations of compact Kähler surfaces. II
• On the homotopy types of Kähler manifolds and the birational Kodaira problem
• Infinitesimale Transformationsgruppen komplexer Räume
• On compact analytic surfaces. III
• Algebraic spaces
• Minimal models for Kähler threefolds
• Extension of 2-forms and symplectic varieties
• Algebraic approximation of Kähler threefolds
• Abundance for Kähler threefolds
• Zariski's conjecture and related problems
• Orbifoldes géométriques spéciales et classification biméromorphe des variétés kählériennes compactes
• Sur les variétés analytiques complexes
• Deformations of Algebraic Schemes
• Lectures on Resolution of Singularities (AM-166)
• Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
• Minimal models and the Kodaira dimension of algebraic fiber spaces.
• Equivariant G-Structure on Versal Deformations
• Classification of Three-Dimensional Flips
• Extension theorems for Kähler metrics
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Deformations of canonical singularities
• Local Simple Connectedness of Resolutions of Log-Terminal Singularities
• PROJECTIVITY CRITERION OF MOISHEZON SPACES AND DENSITY OF PROJECTIVE SYMPLECTIC VARIETIES
• Notes on Topological Stability
• Singular spaces with trivial canonical class
• Abelianity Conjecture for Special Compact Kähler 3-Folds