Some properties of stable rank-2 vector bundles on \(\mathbb{P}_n\)

DOI10.1007/BF01360864zbMath0332.32021WikidataQ100230889 ScholiaQ100230889MaRDI QIDQ1228004

Wolf P. Barth

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162947

zbMATH Keywords

Grassmannianstable vector bundle

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Holomorphic bundles and generalizations (32L05)

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Cites Work

• Unnamed Item
• Valuative criteria for families of vector bundles on algebraic varieties
• Vektorbündel vom Rang 2 über dem \(n\)-dimensionalen komplexprojektiven Raum
• Über holomorphe \(P_ n\)-Bündel über \(P_ 1\)
• Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume
• On uniform vector bundles
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Stable vector bundles on an algebraic surface
• Vector Bundles on the Punctured Spectrum of a Local Ring
• Vector Bundles on Algebraic Surfaces
• Vector Bundles on the Projective Plane
• Stable Vector Bundles on Algebraic Surfaces