Tangent Bundles, Rational Curves, and the Geometry of Manifolds of Negative Kodaira Dimension

  • Thomas Peternell
Part of the The University Series in Mathematics book series (USMA)

Abstract

The purposes of this chapter are some aspects of the “classification” theory of projective manifolds X with Kodaira dimension ∞, which is to say that
$${{H}^{0}}(X,\omega _{X}^{m}) = 0$$
for all m ∈ N, where \({{\omega }_{X}} = {{ \wedge }^{n}}\Omega _{X}^{1}\) is the canonical sheaf of X, n = dim X.

Keywords

Vector Bundle Tangent Bundle Rational Curf Projective Manifold Fano Manifold 
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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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Thomas Peternell
    • 1
  1. 1.Mathematisches InstitutUniversität BayreuthBayreuthGermany

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