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Numerically effective bundles on Moišezon and strongly pseudoconvex manifolds

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1165)

Abstract

We prove a vanishing theorem for numerically effective invertible sheaves relative to projective morphisms between irreducible analytic spaces, by using techniques of Kawamata and by introducing intersection numbers on Moišezon spaces. We give applications to Moišezon and strongly pseudoconvex manifolds, extending results of Schneider and T. Peternell.

Keywords

  • Global Section
  • Normal Crossing
  • Coherent Sheaf
  • Invertible Sheaf
  • Algebraic Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1985 Springer-Verlag

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Ancona, V., Silva, A. (1985). Numerically effective bundles on Moišezon and strongly pseudoconvex manifolds. In: Ławrynowicz, J. (eds) Seminar on Deformations. Lecture Notes in Mathematics, vol 1165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076142

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  • DOI: https://doi.org/10.1007/BFb0076142

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16050-2

  • Online ISBN: 978-3-540-39734-2

  • eBook Packages: Springer Book Archive