Title: Foliations with positive slopes and birational stability of orbifold cotangent bundles
Abstract: In this article we consider log canonical pairs which are log-smooth. If the corresponding canonical bundle is pseudo-effective, then we show that any quotient of the orbifold cotangent bundle of the pair has a pseudo-effective determinant. One of the new ingredients in the proof is a generalization of the Bogomolov-McQuillan algebraicity criterion in the context of holomorphic foliations whose minimal slope with respect to a movable class is positive.
Publication Year: 2015
Publication Date: 2015-08-11
Language: en
Type: preprint
Access and Citation
Cited By Count: 31
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot