Publications mathématiques

, Volume 107, Issue 1, pp 109–168

The six operations for sheaves on Artin stacks I: Finite coefficients


DOI: 10.1007/s10240-008-0011-6

Cite this article as:
Laszlo, Y. & Olsson, M. Publ.math.IHES (2008) 107: 109. doi:10.1007/s10240-008-0011-6


In this paper we develop a theory of Grothendieck’s six operations of lisse-étale constructible sheaves on Artin stacks locally of finite type over certain excellent schemes of finite Krull dimension. We also give generalizations of the classical base change theorems and Kunneth formula to stacks, and prove new results about cohomological descent for unbounded complexes.

Copyright information

© IHES and Springer-Verlag 2008

Authors and Affiliations

  1. 1.CMLS UMR 7640CNRS-École PolytechniquePalaiseau CedexFrance
  2. 2.Department of Mathematics #3840University of CaliforniaBerkeleyUSA