Geodesic
$p$-adic analytic spaces
Documenta mathematica, ICM Berlin 1998, Vol. II (1998), pp. 141-151.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

This report is a review of results in $p$-adic analytic geometry based on a new notion of analytic spaces. We explain the definition of analytic spaces, basic ideas of étale cohomology for them, an application to a conjecture of Deligne on vanishing cycles, the homotopy description of certain analytic spaces, and a relation between the étale cohomology of an algebraic variety and the topological cohomology of the associated analytic space.
Classification : 14G20, 32P05, 11G25, 14F20, 32C37
Keywords: étale cohomology, vanishing cycles, $p$-adic analytic geometry, homotopy 
@article{DOCMA_1998__S8__a69,
     author = {Berkovich, Vladimir G.},
     title = {$p$-adic analytic spaces},
     journal = {Documenta mathematica},
     pages = {141--151},
     publisher = {mathdoc},
     volume = {ICM Berlin 1998, Vol. II},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_1998__S8__a69/}
}
TY  - JOUR
AU  - Berkovich, Vladimir G.
TI  - $p$-adic analytic spaces
JO  - Documenta mathematica
PY  - 1998
SP  - 141
EP  - 151
VL  - ICM Berlin 1998, Vol. II
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_1998__S8__a69/
LA  - en
ID  - DOCMA_1998__S8__a69
ER  - 
%0 Journal Article
%A Berkovich, Vladimir G.
%T $p$-adic analytic spaces
%J Documenta mathematica
%D 1998
%P 141-151
%V ICM Berlin 1998, Vol. II
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_1998__S8__a69/
%G en
%F DOCMA_1998__S8__a69
Berkovich, Vladimir G. $p$-adic analytic spaces. Documenta mathematica, ICM Berlin 1998, Vol. II (1998), pp. 141-151. http://geodesic.mathdoc.fr/item/DOCMA_1998__S8__a69/