Ramified cover of varieties with nef cotangent bundle
Yiyu Wang

TL;DR
This paper constructs examples demonstrating that nef cotangent bundles are not preserved under ramified covers and that manifolds with Stein universal covers may lack nef cotangent bundles, challenging existing conjectures.
Contribution
It provides the first known examples showing nef cotangent bundles are not stable under ramified covers and refutes a conjecture relating Stein universal covers to nef cotangent bundles.
Findings
Nef cotangent bundle not preserved under finite ramified covers
Manifolds with Stein universal cover may not have nef cotangent bundle
Disproves Liu-Maxim-Wang conjecture
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Nonlinear Waves and Solitons
