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Stability and negativity for tangent sheaves of minimal Kähler spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1339)

Keywords

  • Line Bundle
  • Canonical Bundle
  • Holomorphic Line Bundle
  • Kodaira Dimension
  • Positive Rank

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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References

  1. Campana, F.: "Application de l'espace des cycles à la classification biméromorphe des espaces analytiques Kählériens compacts", prepublication of Univ. de Nancy 1, May 1980.

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  2. Enoki, I.: Kodaira dimension and higher cohomology of nef line bundles over compact Kähler manifolds, in preparation.

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  3. Kobayashi, S.: "Differential Geomerty of Complex Vector Bundles" (Publication of the Math. Soc. of Japan Vol. 15), Iwanami Shoten, Tokyo; Princeton Univ. Press, 1987.

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  4. Miyaoka, Y.: The Chern classes and Kodaira dimension of a minimal variety, in "Algebraic Geometry, Sendai, 1985", Advanced Studies in Pure Mathematics 10 (T. Oda, ed.), Kinokuniya, Tokyo; Noth-Holland, Amsterdam, 1987, 449–476.

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  5. —: Deformations of a morphism along a foliation and applications to appear in Proc. of Symp. in Pure Math.

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  6. Reid, M.: Minimal models of canonical 3-folds, in "Algebraic Varieties and Analytic Varieties" Advanced Studies in Pure Mathematics 1 (S. Iitaka ed.), Kinokuniya, Tokyo; Noth-Holland, Amsterdam, 1983, 131–180.

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  7. Tsuji, H.: Stability of tangent bundle of minimal algebraic varieties, preprint, Harvard Univ., 1987, to appear in Topology.

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  8. Yau, S.-T.: On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampere equation, I, Comm. Pure Appl. Math. 31 (1978), 339–411.

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Dedicated to Professor Shingo Murakami on his sixtieth birthday

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© 1988 Springer-Verlag

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Enoki, I. (1988). Stability and negativity for tangent sheaves of minimal Kähler spaces. In: Sunada, T. (eds) Geometry and Analysis on Manifolds. Lecture Notes in Mathematics, vol 1339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083051

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  • DOI: https://doi.org/10.1007/BFb0083051

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50113-8

  • Online ISBN: 978-3-540-45930-9

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