Deformations of Kähler manifolds with nonvanishing holomorphic vector fields

DOI10.4171/JEMS/325zbMath1266.32024arXiv0909.4690WikidataQ61733161 ScholiaQ61733161MaRDI QIDQ437809

Jaume Amorós, Marcel Nicolau, Mònica Manjarín

Publication date: 20 July 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4690

zbMATH Keywords

vector fieldKähler manifolddeformationFujiki manifold

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Deformations of complex structures (32G05) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (1)

Foliations with vanishing Chern classes

Cites Work

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• The class \({\mathcal C}\) is not stable by small deformations
• Variétés kähleriennes dont la première classe de Chern est nulle
• On deformation of holomorphic foliations
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• On automorphism groups of compact Kähler manifolds
• Closedness of the Douady spaces of compact Kähler spaces
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• On deformations of complex analytic structures. I
• Variétés kähleriennes et premiere classe de Chern
• Holomorphic vector fields and the first Chern class of a Hodge manifold
• Holomorphic vector fields and Kaehler manifolds
• $C^*$-actions.
• Sur les variétés analytiques complexes
• Twistors, Kahler Manifolds, and Bimeromorphic Geometry. II
• Déformations équivariantes d'espaces analytiques complexes compacts
• Normal almost contact structures and non-K\"ahler compact complex manifolds
• Complex Parallisable Manifolds
• On Algebraic Varieties which Possess Finite Continuous Commutative Groups of Birational Self-Transformations

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