Abstract
We shall present in this exposé a duality theorem which has been proved by A. Grothendieck. The formulation of this theorem is the same as those of the other duality theorems which can be found in nature : Duality for coherent sheaves [H. S.], duality in the cohomology of pro-finite groups, Poincaré’s duality for topological varieties, ....
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Artin, M. and A. Grothendieck: Séminaire de géométrie algébrique de l’Institut des Hautes Etudes Scientifiques (1964).
Artin, H.: Grothendieck Topologies, Notes on a seminar. Harvard University 1962.
Hartshorne, R.: Residues and Duality. Lecture Notes in Mathematics 20. Berlin — Heidelberg — New York: Springer 1966
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1967 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Verdier, J.L. (1967). A Duality Theorem in the Etale Cohomology of Schemes. In: Springer, T.A. (eds) Proceedings of a Conference on Local Fields. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87942-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-87942-5_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87944-9
Online ISBN: 978-3-642-87942-5
eBook Packages: Springer Book Archive