Ramified cover of varieties with nef cotangent bundle

2022/02/22 by Wang, Yiyu
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.11165

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.

Related

• Manifolds with nef cotangent bundle
• Ample Vector Bundles and Branched Coverings, II
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• Ramified Galois covers via monoidal functors
• Families and moduli of covers with specified ramification