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A vanishing theorem ``à la Kawamata-Viehweg

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Publication:1331752
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DOI10.1007/BF02567622zbMath0820.14012OpenAlexW2317667603MaRDI QIDQ1331752

Laurent Manivel

Publication date: 5 October 1994

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

Full work available at URL: https://eudml.org/doc/155969


zbMATH Keywords

Kawamata-Viehweg vanishing theoremEuler-Poincaré characteristicsnef vector bundlesself- intersections of line bundles on flag varieties


Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Divisors, linear systems, invertible sheaves (14C20)


Related Items

Differential equations on hypersurfaces in \(\mathbb P^4\). ⋮ Orbifold hyperbolicity



Cites Work

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  • \(\lambda\)-rings and the representation theory of the symmetric group
  • Homogeneous vector bundles
  • Positive polynomials for ample vector bundles
  • Some remarks on vanishing theorems for holomorphic vector bundles
  • On Giambelli's theorem on complete correlations
  • Vanishing theorems for tensor powers of an ample vector bundle
  • Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
  • Vanishing theorems.
  • CLASSES OF DETERMINANTAL VARIETIES ASSOCIATED WITH SYMMETRIC AND SKEW-SYMMETRIC MATRICES
  • Enumerative geometry of degeneracy loci
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