Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-17T18:52:44.651Z Has data issue: false hasContentIssue false
  • English
  • Français

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, a.chatzistamatiou@uni-due.de
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

DGM.Deligne, P., Goresky, M. and MacPherson, R., L'algèbre de Cohomologie du Complément, dans un Espace Affine, d'une Famille Finie de Sous-espaces Affines, Michigan Math. J. 48 (2000).CrossRefGoogle Scholar
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