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arxiv: 1612.09393 · v3 · pith:35CRB6FBnew · submitted 2016-12-30 · 🧮 math.AG

Gabber's presentation lemma for finite fields

classification 🧮 math.AG
keywords caselemmafieldsfinitegabberpresentationproofspecial
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We give a proof of Gabber's presentation lemma for finite fields. We use ideas from Poonen's proof of Bertini's theorem to prove this lemma in the special case of open subsets of the affine plane. We then reduce the case of general smooth varieties to this special case.

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