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arXiv · 1502.03936

Rational curves on compact Kähler manifolds

Junyan Cao·Andreas Höring
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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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Junyan Cao, Andreas Höring. 2017-10-25. Rational curves on compact Kähler manifolds. https://arxiv.org/abs/1502.03936

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