Article PDF
Avoid common mistakes on your manuscript.
References
Berkovich, V. G.,Spectral theory and analytic geometry over non-Archimedean fields, Mathematical Surveys and Monographs, vol. 33, American Mathematical Society, 1990.
Bosch, S., Eine bemerkenswerte Eigenschaft der formellen Fasern affinoider Räume,Math. Ann.,229 (1977), 25–45.
Bosch, S., Güntzer, U., Remmert, R.,Non-Archimedean analysis. A systematic approach to rigid analytic geometry, Grundlehren der Mathematischen Wissenschaften, Bd. 261, Springer, Berlin-Heidelberg-New York, 1984.
Bosch, S., Lütkebohmert, W., Stable reduction and uniformization of abelian varieties I,Math. Ann.,270 (1985), 349–379.
Bourbaki, N.,Topologie générale, Paris, Hermann, 1951.
Carayol, H., Non-abelian Lubin-Tate Theory, inAutomorphic Forms, Shimura Varieties, and L-Functions, New York-London, Academic Press, 1990, 15–39.
Drinfeld, V. G., Elliptic modules,Math. USSR Sbornik,23 (1974), 561–592.
Drinfeld, V. G., Coverings ofp-adic symmetric domains,Funct. Anal. Appl.,10 (1976), 107–115.
Engelking, R.,General topology, Warszawa, 1977.
Fresnel, J., Van der Put, M.,Géométrie analytique rigide et applications, Progress in Mathematics, vol. 18, Boston, Birkhäuser, 1981.
Gabriel, P., Zisman, M.,Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 35, Berlin-Heidelberg-New York, Springer, 1967.
Godement R.,Topologie algébrique et théorie des faisceaux, Paris, Hermann, 1958.
Grothendieck, A., Sur quelques points d’algèbre homologique,Tôhoku Math. J.,9 (1957), 119–221.
Grothendieck, A., Le groupe de Brauer, inDix exposés sur la cohomologie des schémas, Amsterdam, North-Holland, 1968, 46–188.
Grothendieck, A., Dieudonné, J., Éléments de géométrie algébrique, IV. Étude locale des schémas et des morphismes de schémas,Publ. Math. I.H.E.S.,20 (1964),25 (1965),28 (1966),32 (1967).
Gruson, L., Théorie de Fredholmp-adique,Bull. Soc. math. France,94 (1966), 67–95.
Hartshorne, R., Residues and Duality,Lecture Notes in Math.,20, Berlin-Heidelberg-New York, Springer, 1966.
Hartshorne, R.,Algebraic Geometry, Berlin-Heidelberg-New York, Springer, 1977.
Kiehl, R., Ausgezeichnete Ringe in der nichtarchimedischen analytischen Geometrie,J. Reine Angew. Math.,234 (1969), 89–98.
Matsumura, H.,Commutative ring theory, Cambridge University Press, 1980.
Mitchell, B.,Theory of Categories, New York-London, Academic Press, 1965.
Van der Put, M., The class group of a one-dimensional affinoid space,Ann. Inst. Fourier,30 (1980), 155–164.
Raynaud, M., Anneaux locaux henséliens,Lecture Notes in Math.,169, Berlin-Heidelberg-New York, Springer, 1970.
Grothendieck, A., Séminaire de géométrie algébrique, I. Revêtements étales et groupe fondamental,Lecture Notes in Math.,224, Berlin-Heidelberg-New York, Springer, 1971.
Artin, M., Grothendieck, A., Verdier, J.-L., Théorie des topos et cohomologie étale des schémas,Lecture Notes in Math.,269, 270, 305, Berlin-Heidelberg-New York, Springer, 1972–1973.
Deligne, P. et al., Cohomologie étale,Lectures Notes in Math.,569, Berlin-Heidelberg-New York, Springer, 1977.
Schneider, P., Stuhler, U., The cohomology ofp-adic symmetric spaces,Invent. math.,105 (1991), 47–122.
Serre, J.-P., Cohomologie galoisienne,Lectures Notes in Math., 5, Berlin-Heidelberg-New York, Springer, 1964.
Zariski, O., Samuel, P.,Commutative algebra, Berlin-Heidelberg-New York, Springer, 1975.
Author information
Authors and Affiliations
Additional information
Incumbent of the Reiter Family Career Development Chair. Supported in part by NSF grant DMS-9100383.
About this article
Cite this article
Berkovich, V.G. Étale cohomology for non-Archimedean analytic spaces. Publications Mathématiques de l’Institut des Hautes Études Scientifiques 78, 5–161 (1993). https://doi.org/10.1007/BF02712916
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02712916