Complex structures on products of circle bundles over complex manifolds

DOI10.1016/j.crma.2011.02.016zbMath1222.32049OpenAlexW2580822157MaRDI QIDQ533984

Parameswaran Sankaran, Ajay Singh Thakur

Publication date: 10 May 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.02.016

zbMATH Keywords

Picard groupflag varietycomplex structuretranscendence degreecircle bundle

Mathematics Subject Classification ID

Complex manifolds (32Q99) Vanishing theorems (32L20)

Cites Work

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• Schubert varieties are arithmetically Cohen-Macaulay
• Projective normality of flag varieties and Schubert varieties
• Holomorphic flows and complex structures on products of odd dimensional spheres
• A class of compact, complex manifolds which are not algebraic
• A Coincidence Theorem for Holomorphic Maps toG/P
• Closed Manifolds with Homogeneous Complex Structure