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Vector bundles with semidefinite curvature and cohomology vanishing theorems

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Publication:1157706
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DOI10.1016/S0001-8708(81)80003-5zbMath0472.32021MaRDI QIDQ1157706

Giuliana Gigante

Publication date: 1981

Published in: Advances in Mathematics (Search for Journal in Brave)


zbMATH Keywords

semidefinite curvaturecompact Kaehler manifoldscohomology vanishing theorems


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Analytic sheaves and cohomology groups (32C35) Vanishing theorems (32L20)


Related Items

(k, s)-POSITIVITY AND VANISHING THEOREMS FOR COMPACT KÄHLER MANIFOLDS ⋮ Vanishing theorems on compact hyper-Kähler manifolds



Cites Work

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  • On complex analytic vector bundles
  • Homogeneous vector bundles
  • On compact, locally symmetric Kähler manifolds
  • On holomorphic sections of certain hermitian vector bundles
  • On complex manifolds with positive tangent bundles
  • Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan
  • On a Differential-Geometric Method in the Theory of Analytic Stacks
  • Note on Kodaira-Spencer's proof of Lefschetz theorems
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