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Moscow Mathematical Journal, 2009, Volume 9, Number 1, Pages 47–55
DOI: https://doi.org/10.17323/1609-4514-2009-9-1-47-55 (Mi mmj336) 		 
This article is cited in 1 scientific paper (total in 1 paper)

"La descente galoisienne $\dots$"

Luc Illusie

Université de Paris-Sud (Orsay), Département de Mathématiques, Orsay Cedex, France
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DOI: https://doi.org/10.17323/1609-4514-2009-9-1-47-55
Abstract: Cohomological descent was invented by Deligne in the early 60's. I recall memories about this and discuss related developments and applications that arose since then, pertaining to cotangent complex and deformation theory, mixed Hodge theory, de Jong alterations, $p$-adic Hodge theory.
Key words and phrases: Galois descent, cohomological descent, hypercovering, simplicial space, Grothendieck's six operations, cotangent complex, first order deformation, algebraic stack, mixed Hodge theory, de Jong alteration, rigid cohomology, $p$-adic étale cohomology, $p$-adic Hodge theory, independence of $\ell$.
Received: May 4, 2008
Bibliographic databases:
MSC: 13D03, 13D10, 14C30, 14F20, 14F30, 18G30
Language: French
Citation: Luc Illusie, “"La descente galoisienne $\dots$"”, Mosc. Math. J., 9:1 (2009), 47–55
Citation in format AMSBIB
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\by Luc~Illusie
\paper ``La descente galoisienne $\dots$''
\jour Mosc. Math.~J.
\yr 2009
\vol 9
\issue 1
\pages 47--55
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\crossref{https://doi.org/10.17323/1609-4514-2009-9-1-47-55}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2567396}
\zmath{https://zbmath.org/?q=an:1178.14002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269218000003}
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