Gabber’s presentation lemma for finite fields

Hogadi, Amit ; Kulkarni, Girish (2018) Gabber’s presentation lemma for finite fields Journal f�r die reine und angewandte Mathematik (Crelles Journal), 2020 (759). pp. 265-289. ISSN 0075-4102

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Official URL: https://doi.org/10.1515/crelle-2017-0049

Related URL: http://dx.doi.org/10.1515/crelle-2017-0049

Abstract

We give a proof of Gabber’s presentation lemma for finite fields. We first prove this lemma in the special case of open subsets of the affine plane using ideas from Poonen’s proof of Bertini’s theorem over finite fields. We then reduce the case of general smooth varieties to this special case.

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Deposited On:27 Dec 2025 12:28
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