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

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Complex Analysis and Geometry

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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.

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Peternell, T. (1993). Tangent Bundles, Rational Curves, and the Geometry of Manifolds of Negative Kodaira Dimension. In: Ancona, V., Silva, A. (eds) Complex Analysis and Geometry. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9771-8_12

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  • DOI: https://doi.org/10.1007/978-1-4757-9771-8_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9773-2

  • Online ISBN: 978-1-4757-9771-8

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