Compact Kähler manifolds with no projective specialization

DOI10.1007/s40574-021-00288-3zbMath1503.32011arXiv2101.01075OpenAlexW3158145615MaRDI QIDQ2162473

Claire Voisin

Publication date: 8 August 2022

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01075

zbMATH Keywords

compact Kähler manifoldHodge structureKodaira problem

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Deformations of complex structures (32G05)

Cites Work

• On the homotopy types of compact Kähler and complex projective manifolds
• On compact complex analytic surfaces. I
• Connecting certain rigid birational non-homeomorphic Calabi-Yau threefolds via Hilbert scheme
• Limits of Hodge structures
• On compact Kähler surfaces
• Algebraic approximations of compact Kähler manifolds of algebraic codimension \(1\)
• Hodge structures on cohomology algebras and geometry
• On the homotopy types of Kähler manifolds and the birational Kodaira problem
• Deformation of rational singularities and Hodge structure
• Rigid group actions on complex tori are projective (after Ekedahl)
• On Stability of Compact Submanifolds of Complex Manifolds

This page was built for publication: Compact Kähler manifolds with no projective specialization