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May 5, 2018 at 20:17 vote accept user43198
May 5, 2018 at 17:30 history edited R. van Dobben de Bruyn CC BY-SA 4.0
Removed unjustified assertion.
May 5, 2018 at 17:30 comment added R. van Dobben de Bruyn @TakumiMurayama: ah, I was probably thinking of the situation when you fix the line bundle (like in the classical Bertini theorem).
May 5, 2018 at 17:17 comment added Takumi Murayama What happens when you replace "smooth" by "regular"? The reason I ask is that [Flenner–O'Carroll–Vogel, Cor. 3.4.14] seems to say that Bertini holds for regular varieties over infinite fields.
May 5, 2018 at 17:03 history answered R. van Dobben de Bruyn CC BY-SA 4.0