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Poitou–Tate duality for arithmetic schemes

Part of: (Co)homology theory $K$-theory in geometry

Published online by Cambridge University Press:  23 August 2018

Thomas H. Geisser  and
Alexander Schmidt
Thomas H. Geisser
Affiliation:
Rikkyo University, Department of Mathematics, 3-34-1 Nishi-Ikebukuro, Toshima-ku, Tokyo, 171-8501, Japan email geisser@rikkyo.ac.jp
Alexander Schmidt
Affiliation:
Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany email schmidt@mathi.uni-heidelberg.de
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Abstract

We give a generalization of Poitou–Tate duality to schemes of finite type over rings of integers of global fields.

Keywords

arithmetic schemesPoitou–Tate dualityShafarevich–Tate groups

MSC classification

Primary: 14F20: Étale and other Grothendieck topologies and (co)homologies 19E15: Algebraic cycles and motivic cohomology

Information

Type
Research Article
Information
Compositio Mathematica , Volume 154 , Issue 9 , September 2018 , pp. 2020 - 2044
Copyright
© The Authors 2018 

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