Manifolds with nef cotangent bundle

TL;DR

This paper generalizes Ueno's classical theorem by establishing new structural results for manifolds whose cotangent bundles are nef or semiample, advancing understanding in complex geometry.

Contribution

It introduces new structure theorems for manifolds with nef or semiample cotangent bundles, extending classical results in the field.

Findings

Manifolds with nef cotangent bundles have specific geometric structures.

The paper proves new theorems generalizing Ueno's classical results.

Results contribute to the classification of complex manifolds with positivity conditions.

Abstract

Generalising a classical theorem by Ueno, we prove structure results for manifolds with nef or semiample cotangent bundle.