Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01116093
Contributor : Andreas Höring <>
Submitted on : Thursday, February 12, 2015 - 3:11:54 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:52 PM
Document(s) archivé(s) le : Wednesday, May 13, 2015 - 10:25:15 AM

Files

a27-rat-curves.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01116093, version 1

Citation

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

Share

Metrics

Record views

283

Files downloads

256