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

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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.

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Authors and Affiliations

  1. CMLS UMR 7640, CNRS-École Polytechnique, F-91128, Palaiseau Cedex, France

    Yves Laszlo

  2. Department of Mathematics #3840, University of California, Berkeley, CA, 94720-3840, USA

    Martin Olsson

Authors
  1. Yves Laszlo
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  2. Martin Olsson
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Correspondence to Yves Laszlo.

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Laszlo, Y., Olsson, M. The six operations for sheaves on Artin stacks I: Finite coefficients. Publ.math.IHES 107, 109–168 (2008). https://doi.org/10.1007/s10240-008-0011-6

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