English

Ramified cover of varieties with nef cotangent bundle

Algebraic Geometry 2022-02-24 v1

Abstract

We construct examples to show that having nef cotangent bundle is not preserved under finite ramified covers. Our examples also show that a projective manifold with Stein universal cover may not have nef cotangent bundle, disproving a conjecture of Liu-Maxim-Wang.

Keywords

Cite

@article{arxiv.2202.11165,
  title  = {Ramified cover of varieties with nef cotangent bundle},
  author = {Yiyu Wang},
  journal= {arXiv preprint arXiv:2202.11165},
  year   = {2022}
}