The theorem of Barth-Lefschetz as a consequence of Le Potier's vanishing theorem

DOI10.1007/BF03026551zbMath0797.32017MaRDI QIDQ1313555

Jörg Zintl, Michael Schneider

Publication date: 31 January 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155873

zbMATH Keywords

ample vector bundlesvanishing theoremBarth-Lefschetz theorem

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Vanishing theorems (32L20)

Related Items (8)

Barth type vanishing theorem ⋮ Corrigenda to ``Barth type vanishing theorems ⋮ On the ampleness of the normal bundle of line congruences ⋮ Saturation bounds for smooth varieties ⋮ Generalization of Peternell, le Potier and Schneider vanishing theorem ⋮ Vanishing theorems for vector bundles generated by sections ⋮ On the restriction of holomorphic forms ⋮ On the normal bundle of submanifolds of $\mathbb P^n$

Cites Work

• Vanishing theorems on complex manifolds
• Annulation de la cohomologie à valeurs dans un fibre vectoriel holomorphe positif de rang quelconque
• Submanifolds of Abelian varieties
• Verschwindungssätze und Untermannigfaltigkeiten kleiner Kodimension des komplex-projektiven Raumes.
• Varieties of small codimension in projective space
• Transplanting Cohomology Classes in Complex-Projective Space
• On a Theorem of Lefschetz and the Lemma of Enriques-Severi-Zariski

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