Algebraic approximations of compact Kähler threefolds

2017/10/03 by Hsueh-Yung Lin, Lin, Hsueh-Yung · 4 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1710.01083

openalex publication_date 2017/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that every compact Kähler threefold has arbitrarily small deformations to some projective manifolds, thereby solving the Kodaira problem in dimension 3.

Cited by

• Constant holomorphic sectional curvature conjecture and Fino-Vezzoni conjecture
• Deformation of nef adjoint canonical line bundles
• Finite groups of bimeromorphic selfmaps of non-uniruled Kähler threefolds
• Dimension four simply connected Voisin manifolds

Related

• Algebraic approximations of compact Kähler threefolds of Kodaira dimension 0 or 1
• Algebraic approximation of Kähler threefolds
• Towards a Mori theory on compact Kähler threefolds, II
• The Kodaira dimension of diffeomorphic Kähler 3-folds
• Towards a Mori theory on compact Kaehler threefolds,II