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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].
Wang, Yiyu 1
@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}, publisher = {Acad\'emie des sciences, Paris}, volume = {360}, number = {G8}, year = {2022}, doi = {10.5802/crmath.365}, language = {en}, url = {http://geodesic.mathdoc.fr/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 - http://geodesic.mathdoc.fr/articles/10.5802/crmath.365/ DO - 10.5802/crmath.365 LA - en ID - CRMATH_2022__360_G8_929_0 ER -
%0 Journal Article %A Wang, Yiyu %T Ramified cover of varieties with nef cotangent bundle %J Comptes Rendus. Mathématique %D 2022 %P 929-932 %V 360 %N G8 %I Académie des sciences, Paris %U http://geodesic.mathdoc.fr/articles/10.5802/crmath.365/ %R 10.5802/crmath.365 %G en %F CRMATH_2022__360_G8_929_0
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://geodesic.mathdoc.fr/articles/10.5802/crmath.365/
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