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September 2008 Motives for perfect PAC fields with pro-cyclic Galois group
Immanuel Halupczok
J. Symbolic Logic 73(3): 1036-1050 (September 2008). DOI: 10.2178/jsl/1230396764

Abstract

Denef and Loeser defined a map from the Grothendieck ring of sets definable in pseudo-finite fields to the Grothendieck ring of Chow motives, thus enabling to apply any cohomological invariant to these sets. We generalize this to perfect, pseudo algebraically closed fields with pro-cyclic Galois group. In addition, we define some maps between different Grothendieck rings of definable sets which provide additional information, not contained in the associated motive. In particular we infer that the map of Denef-Loeser is not injective.

Citation

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Immanuel Halupczok. "Motives for perfect PAC fields with pro-cyclic Galois group." J. Symbolic Logic 73 (3) 1036 - 1050, September 2008. https://doi.org/10.2178/jsl/1230396764

Information

Published: September 2008
First available in Project Euclid: 27 December 2008

zbMATH: 1171.03021
MathSciNet: MR2444285
Digital Object Identifier: 10.2178/jsl/1230396764

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Rights: Copyright © 2008 Association for Symbolic Logic

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Vol.73 • No. 3 • September 2008
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