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Étale cohomology of the complement of a linear subspace arrangement

Published online by Cambridge University Press:  18 February 2011

Andre Chatzistamatiou
Andre Chatzistamatiou
Affiliation:
University Duisburg-Essen, Fachbereich Mathematik Campus Essen, 45117 Essen, Germany, [email protected]
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Abstract

We prove a formula for the cup product on the ℓ-adic cohomology of the complement of a linear subspace arrangement.

Keywords

Arrangements of linear subspacesmotivic cohomologyétale cohomology
Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 1 , February 2012 , pp. 119 - 149
Copyright
Copyright © ISOPP 2011

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References

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Vo.Voevodsky, V., Triangulated category of motives over a field. Annals of Mathematics Studies 143, Princeton University Press (2000), 188–238.Google Scholar
MVM.Mazza, C., Voevodsky, V., Weibel, C., Lecture notes on motivic cohomology. Clay Mathematics Monographs 2 (2006).Google Scholar