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Rational curves on compact Kaehler 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 centres 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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https://hal.archives-ouvertes.fr/hal-01116093
Contributor : Andreas Höring Connect in order to contact the contributor
Submitted on : Thursday, February 12, 2015 - 3:11:54 PM
Last modification on : Wednesday, December 9, 2020 - 3:07:57 PM
Long-term archiving on: : Wednesday, May 13, 2015 - 10:25:15 AM

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  • HAL Id : hal-01116093, version 1

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Junyan Cao, Andreas Höring. Rational curves on compact Kaehler manifolds. 2015. ⟨hal-01116093⟩

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