Exposé XVIII\(_A\). Cohomological dimension: first results. (English) Zbl 1320.14026

Illusie, Luc

Illusie, Luc (ed.) et al., Travaux de Gabber sur l’uniformisation locale et la cohomologie étale des schémas quasi-excellents. Séminaire à l’École Polytechnique 2006–2008. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-790-2/pbk). Astérisque 363-364, 455-459 (2014).

Summary: We establish Gabber’s bound on cohomological dimension stated in the introduction (in the comments on the proof of the finiteness theorem).
For the entire collection see [Zbl 1297.14003].

MSC:

14F05	Sheaves, derived categories of sheaves, etc. (MSC2010)
14F20	Étale and other Grothendieck topologies and (co)homologies