Orbifold Slope Rational-Connectedness
Algebraic Geometry
2016-07-28 v3
Abstract
The notion of 'slope rational connectedness' is introduced in the context of smooth orbifold pairs. The main result parallels the characterization of the rational connectedness of projective manifolds in terms of either the non-existence of holomorphic covariant tensors, or of absence of fibrations onto manifolds with pseudo-effective canonical bundle, or of existence of movable classes for which the minimal slope of the tangent bundle is positive. We then use this result to construct the `rational quotient map' in orbifold category.
Cite
@article{arxiv.1603.01748,
title = {Orbifold Slope Rational-Connectedness},
author = {Frederic Campana and Mihai Paun},
journal= {arXiv preprint arXiv:1603.01748},
year = {2016}
}
Comments
This paper has been withdrawn by the authors because superseded by arXiv:1607.07829