Bertini theorems for weak normality
Compositio Mathematica, Tome 48 (1983) no. 3, pp. 351-362. 
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     author = {Cumino, Caterina and Greco, Silvio and Manaresi, Mirella},
     title = {Bertini theorems for weak normality},
     journal = {Compositio Mathematica},
     pages = {351--362},
     publisher = {Martinus Nijhoff Publishers},
     volume = {48},
     number = {3},
     year = {1983},
     mrnumber = {700745},
     zbl = {0511.14025},
     language = {en},
     url = {http://www.numdam.org/item/CM_1983__48_3_351_0/}
}
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Cumino, Caterina; Greco, Silvio; Manaresi, Mirella. Bertini theorems for weak normality. Compositio Mathematica, Tome 48 (1983) no. 3, pp. 351-362. http://www.numdam.org/item/CM_1983__48_3_351_0/

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