Rational curves on compact K\"ahler manifolds
Algebraic Geometry
2017-10-26 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.1502.03936,
title = {Rational curves on compact K\"ahler manifolds},
author = {Junyan Cao and Andreas Höring},
journal= {arXiv preprint arXiv:1502.03936},
year = {2017}
}
Comments
32 pages