Vanishing theorems, linear and quadratic normality
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Publication:1089058
DOI10.1007/BF01389243zbMath0618.14023MaRDI QIDQ1089058
Thomas Peternell, Michael Schneider, Joseph Le Potier
Publication date: 1987
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143436
Complete intersections (14M10) Low codimension problems in algebraic geometry (14M07) Vanishing theorems (32L20)
Related Items (14)
Barth type vanishing theorem ⋮ Corrigenda to ``Barth type vanishing theorems ⋮ Vanishing theorems for tensor powers of an ample vector bundle ⋮ Direct images of sheaves of differentials and the Atiyah class ⋮ Vector bundles generated by sections and ample ⋮ Topological methods in moduli theory ⋮ Generalization of Peternell, le Potier and Schneider vanishing theorem ⋮ On the 3 and 4-normality of codimension two subvarieties of \({\mathbb{P}}^ n\) ⋮ Vanishing theorems for vector bundles generated by sections ⋮ (k, s)-POSITIVITY AND VANISHING THEOREMS FOR COMPACT KÄHLER MANIFOLDS ⋮ Positivity and vanishing theorems for ample vector bundles ⋮ Sur la cohomologie des fibrés associés au fibré quotient universel sur la grassmannienne ⋮ On the normal bundle of submanifolds of $\mathbb P^n$ ⋮ Unnamed Item
Cites Work
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- Some remarks on vanishing theorems for holomorphic vector bundles
- Direct images of sheaves of differentials and the Atiyah class
- Annulation de la cohomologie à valeurs dans un fibre vectoriel holomorphe positif de rang quelconque
- Submanifolds of Abelian varieties
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- The positivity of the Chern classes of an ample vector bundle
- A computer aided approach to codimension 2 subvarities of Pn, n6.
- Verschwindungssätze und Untermannigfaltigkeiten kleiner Kodimension des komplex-projektiven Raumes.
- Varieties of small codimension in projective space
- Transplanting Cohomology Classes in Complex-Projective Space
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