no. G8
Géométrie algébrique
Ramified cover of varieties with nef cotangent bundle
Wang, Yiyu1
1 Department of Mathematics, University of Wisconsin - Madison, 480 Lincoln Drive, 213 Van Vleck Hall, Madison, WI 53706, USA
Comptes Rendus. Mathématique, Tome 360 (2022) no. G8, 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].

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.365
Wang, Yiyu 1

1 Department of Mathematics, University of Wisconsin - Madison, 480 Lincoln Drive, 213 Van Vleck Hall, Madison, WI 53706, USA 
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Wang, Yiyu. Ramified cover of varieties with nef cotangent bundle. Comptes Rendus. Mathématique, Tome 360 (2022) no. G8, pp. 929-932. doi : 10.5802/crmath.365. http://archive.numdam.org/articles/10.5802/crmath.365/

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