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].
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Wang, Yiyu 1
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@article{CRMATH_2022__360_G8_929_0,
author = {Wang, Yiyu},
title = {Ramified cover of varieties with nef cotangent bundle},
journal = {Comptes Rendus. Math\'ematique},
pages = {929--932},
year = {2022},
publisher = {Acad\'emie des sciences, Paris},
volume = {360},
number = {G8},
doi = {10.5802/crmath.365},
language = {en},
url = {https://www.numdam.org/articles/10.5802/crmath.365/}
}
TY - JOUR AU - Wang, Yiyu TI - Ramified cover of varieties with nef cotangent bundle JO - Comptes Rendus. Mathématique PY - 2022 SP - 929 EP - 932 VL - 360 IS - G8 PB - Académie des sciences, Paris UR - https://www.numdam.org/articles/10.5802/crmath.365/ DO - 10.5802/crmath.365 LA - en ID - CRMATH_2022__360_G8_929_0 ER -
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
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