A Nonvanishing Conjecture for Cotangent Bundles
Algebraic Geometry
2020-06-11 v1
Abstract
In this paper we study the positivity of the cotangent bundle of projective manifolds. We conjecture that the cotangent bundle is pseudoeffective if and only the manifold has non-zero symmetric differentials. We confirm this conjecture for most projective surfaces that are not of general type.
Cite
@article{arxiv.2006.05225,
title = {A Nonvanishing Conjecture for Cotangent Bundles},
author = {Andreas Höring and Thomas Peternell},
journal= {arXiv preprint arXiv:2006.05225},
year = {2020}
}
Comments
30 pages