Theorems of Barth-Lefschetz type for complex subspaces of homogeneous complex manifolds

DOI10.1073/pnas.74.4.1332zbMath0354.32035OpenAlexW1990686548WikidataQ35017011 ScholiaQ35017011MaRDI QIDQ4125122

Andrew John Sommese

Publication date: 1977

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.74.4.1332

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Complete intersections (14M10) Homogeneous complex manifolds (32M10) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (7)

Complex subspaces of homogeneous complex manifolds II—Homotopy Results ⋮ Kirwan surjectivity and Lefschetz-Sommese theorems for a generalized hyperkähler reduction ⋮ A second Lefschetz theorem for general manifold sections in complex projective space ⋮ Theorems of Barth-Lefschetz type in Sasakian geometry ⋮ Submanifolds of Abelian varieties ⋮ Concavity theorems ⋮ Theorems of Barth-Lefschetz type and Morse theory on the space of paths in homogeneous spaces

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