Structures complexes sur les produit de fibrés en cercles au-dessus des variétés complexes

DOI10.5802/aif.2805zbMath1303.32015arXiv1012.0668OpenAlexW2075246589MaRDI QIDQ462796

Parameswaran Sankaran, Ajay Singh Thakur

Publication date: 21 October 2014

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0668

zbMATH Keywords

elliptic surfacescompact manifoldsHopf manifoldsCalabi-Eckmann manifoldscircle bundles

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Topological aspects of complex manifolds (32Q55) Holomorphic bundles and generalizations (32L05)

Related Items

Homogeneous Hermitian manifolds and special metrics, Picard groups of certain compact complex parallelizable manifolds and related spaces, Group actions, non-Kähler complex manifolds and SKT structures, Algebraic topology in India

Cites Work

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• Schubert varieties are arithmetically Cohen-Macaulay
• Projective normality of flag varieties and Schubert varieties
• Dolbeault cohomology of compact complex homogeneous manifolds
• A new geometric construction of compact complex manifolds in any dimension
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• Holomorphic flows and complex structures on products of odd dimensional spheres
• A class of compact, complex manifolds which are not algebraic
• Singular locus of a Schubert variety
• A new family of complex, compact, non-symplectic manifolds
• A Coincidence Theorem for Holomorphic Maps toG/P
• Holomorphic principal bundles over projective toric varieties
• Closed Manifolds with Homogeneous Complex Structure
• Compact complex manifolds: an extension of Meersseman's and López de Medrano-Verjovsky's construction