Bertini theorems over finite fields. Poonen, B. Ann. of Math. (2), 160(3):1099–1127, 2004.
doi  bibtex   
@Article{	  poo:04,
  author	= {Poonen, Bjorn},
  title		= {Bertini theorems over finite fields},
  journal	= {Ann. of Math. (2)},
  fjournal	= {Annals of Mathematics. Second Series},
  volume	= {160},
  year		= {2004},
  number	= {3},
  pages		= {1099--1127},
  issn		= {0003-486X},
  doi		= {10.4007/annals.2004.160.1099}
}

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