The six operations for sheaves on Artin stacks II: Adic coefficients
Publications Mathématiques de l'IHÉS, Tome 107 (2008), pp. 169-210 
@article{PMIHES_2008__107__169_0,
     author = {Laszlo, Yves and Olsson, Martin},
     title = {The six operations for sheaves on {Artin} stacks {II:} {Adic} coefficients},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {169--210},
     year = {2008},
     publisher = {Institut des Hautes Etudes Scientifiques},
     volume = {107},
     doi = {10.1007/s10240-008-0012-5},
     mrnumber = {2434693},
     zbl = {1191.14003},
     language = {en},
     url = {https://www.numdam.org/articles/10.1007/s10240-008-0012-5/}
}
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Laszlo, Yves; Olsson, Martin. The six operations for sheaves on Artin stacks II: Adic coefficients. Publications Mathématiques de l'IHÉS, Tome 107 (2008), pp. 169-210. doi: 10.1007/s10240-008-0012-5

[1] K. A. Behrend, Derived l-Adic Categories for Algebraic Stacks, Mem. Amer. Math. Soc., vol. 163, no. 774, Amer. Math. Soc., Providence, RI, 2003. | Zbl | MR

[2] Beĭlinson, A.A., Bernstein, J., Deligne, P. (1982) Faisceaux pervers. Analysis and Topology on Singular Spaces, I (Luminy, 1981). Soc. Math. France, Paris | Zbl | MR

[3] Bokstedt, M., Neeman, A. (1993) Homotopy limits in triangulated categories. Compos. Math. 86: pp. 209-234 | Zbl | MR | Numdam | EuDML

[4] Deligne, P. (1980) La conjecture de Weil II. Publ. Math., Inst. Hautes Étud. Sci. 52: pp. 137-252 | Zbl | MR | Numdam | EuDML

[5] Deligne, P. (1977) Cohomologie étale | Zbl | MR

[6] Ekedahl, T. (1985) On the multiplicative properties of the de Rham-Witt complex. II. Ark. Mat. 23: pp. 53-102 | Zbl | MR

[7] Ekedahl, T. (1990) On the adic formalism. The Grothendieck Festschrift, vol. II. Birkhäuser, Boston, MA | Zbl | MR

[8] Gabber, O. (2004) Notes on some t-structures. Geometric Aspects of Dwork Theory, vol. II. Walter de Gruyter, Berlin, pp. 711-734 | Zbl | MR

[9] P.-P. Grivel, Catégories dérivées et foncteurs dérivés, in A. Borel (ed.) Algebraic D-Modules, Perspect. Math., vol. 2, Academic Press, Boston, MA, 1987. | MR

[10] M. Artin, A. Grothendieck, and J.-L. Verdier, Théorie des topos et cohomologie étale des schémas, in Séminaire de Géométrie Algébrique du Bois-Marie (SGA 4), Lect. Notes Math. vols. 269, 270, 305, Springer, Berlin, 1972. | Zbl

[11] A. Grothendieck et al., Cohomologie l-adique et fonctions L, in L. Illusie (ed.) Séminaire de Géometrie Algébrique du Bois-Marie (SGA 5), Lect. Notes Math., vol. 589, Springer, Berlin, 1977. | Zbl | MR

[12] Jannsen, U. (1988) Continuous étale cohomology. Math. Ann. 280: pp. 207-245 | Zbl | MR

[13] Keller, B. (1998) On the cyclic homology of ringed spaces and schemes. Doc. Math. 3: pp. 177-205 | Zbl | MR

[14] Y. Laszlo and M. Olsson, The six operations for sheaves on Artin stacks I: Finite coefficients, Publ. Math., Inst. Hautes Étud. Sci., (2008). | Zbl | MR | Numdam

[15] Y. Laszlo and M. Olsson, Perverse sheaves on Artin stacks, Math. Z., to appear. | MR

[16] Laumon, G., Moret-Bailly, L. (2000) Champs algébriques. Springer, Berlin | Zbl | MR

[17] Neeman, A. (1996) The Grothendieck duality theorem via Bousfield's techniques and Brown representability. J. Amer. Math. Soc. 9: pp. 205-236 | Zbl | MR

[18] Neeman, A. (2001) Triangulated Categories. Princeton University Press, Princeton, NJ | Zbl | MR

[19] Olsson, M. (2007) Sheaves on Artin stacks. J. Reine Angew. Math. 603: pp. 55-112 | Zbl | MR

[20] J. Riou, Pureté (d'après Ofer Gabber), in Théorèmes de finitude en cohomogie étale d'après Ofer Gabber, in preparation, preprint (2007), http://www.math.u-psud.fr/~riou/doc/gysin.pdf.

[21] Spaltenstein, N. (1988) Resolutions of unbounded complexes. Compos. Math. 65: pp. 121-154 | Zbl | MR | Numdam

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