Complex subspaces of homogeneous complex manifolds. I: Transplanting theorems

DOI10.1215/S0012-7094-79-04627-1zbMath0426.32002MaRDI QIDQ1135970

Andrew John Sommese

Publication date: 1979

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

GrassmannianLefschetz theoremAndreotti-Grauert finiteness theoremlambda convexsheaf cohomology vanishing theoremsubspaces of homogeneous complex manifoldstransplanting theorem

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Analytic sheaves and cohomology groups (32C35) (q)-convexity, (q)-concavity (32F10) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Vanishing theorems (32L20)

Related Items (4)

Complex subspaces of homogeneous complex manifolds II—Homotopy Results ⋮ A Fulton-Hansen theorem for almost homogeneous spaces ⋮ Algebraic varieties and \(q\)-complete complex spaces. ⋮ A second Lefschetz theorem for general manifold sections in complex projective space

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