The six operations for sheaves on Artin stacks I: Finite coefficients
By Yves Laszlo, Martin Olsson. 2005
154 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e0f74444c890dfa99589e3bbf99c295ec2fe4ad6
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In Geometry and Topology
- Carlos Simpson
- Zhiwei Yun
- Wei Zhang
- R. Bezrukavnikov
- Davesh Maulik
- Junliang Shen
- D. Arinkin
- V. Drinfeld
In Mathematical Physics
- Carlos Simpson
- Zhiwei Yun
- R. Bezrukavnikov
- Wei Zhang
- V. Drinfeld
- D. Arinkin
- M. Boyarchenko
- Yves Laszlo
Citations in the corpus
- Perverse t-structure on Artin stacks (2009, methodology): “In this paper we develop the theory of perverse sheaves on Artin stacks continuing the study in [12] and [13].”
- Shtukas and the Taylor expansion of L-functions (II) (2015, methodology): “We use D c(S) to denote the derived category of Ql-complexes for the étale topology of S, as defined in [18].”
- On the classification of rank-two representations of quasiprojective fundamental groups (2007, result): “We also have the notion of local system over X, which is by now a standard notion, see [ 76 ] for example, or [125] for the case of D-modules.”
- Perverse coherent sheaves (2009, background): “The work of the second author was partly supported by DARPA grant HR0011-04-1-0031 and NSF grant DMS-0625234.”