Comptes Rendus
Algebraic geometry
Ramified cover of varieties with nef cotangent bundle
Yiyu Wang1
1Department of Mathematics, University of Wisconsin - Madison, 480 Lincoln Drive, 213 Van Vleck Hall, Madison, WI 53706, USA
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 929-932

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 [7].

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/crmath.365

Yiyu Wang  1

1 Department of Mathematics, University of Wisconsin - Madison, 480 Lincoln Drive, 213 Van Vleck Hall, Madison, WI 53706, USA
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     author = {Yiyu Wang},
     title = {Ramified cover of varieties with nef cotangent bundle},
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     doi = {10.5802/crmath.365},
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Yiyu Wang. Ramified cover of varieties with nef cotangent bundle. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 929-932. doi: 10.5802/crmath.365

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