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Rational curves on compact Kähler manifolds

Abstract : We present an inductive strategy to show the existence of rational curves on compact Kaehler manifolds which are not minimal models but have a pseudoeffective canonical bundle. The tool for this inductive strategy is a weak subadjunction formula for lc centers associated to certain big cohomology classes. This subadjunction formula is based, as in the projective case, on positivity arguments for relative adjoint classes.
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Preprints, Working Papers, ...
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Contributor : Andreas Höring <>
Submitted on : Thursday, March 3, 2016 - 9:03:40 PM
Last modification on : Friday, November 6, 2020 - 4:28:15 AM

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  • HAL Id : hal-01282578, version 1
  • ARXIV : 1502.03936



Junyan Cao, Andreas Hoering. Rational curves on compact Kähler manifolds. 2016. ⟨hal-01282578⟩



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