The stack quotient of a groupoid
Kock, Anders
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003), p. 85-104 / Harvested from Numdam
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Publié le : 2003-01-01
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     author = {Kock, Anders},
     title = {The stack quotient of a groupoid},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {44},
     year = {2003},
     pages = {85-104},
     mrnumber = {1985833},
     zbl = {1092.14001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2003__44_2_85_0}
}

Kock, Anders. The stack quotient of a groupoid. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003) pp. 85-104. http://gdmltest.u-ga.fr/item/CTGDC_2003__44_2_85_0/

[1] P. Deligne and D. Mumford, The irreducibility of the moduli space of curves of a given genus, Publ. Math. I.H.E.S. 36, 75-110 (1969). | Numdam | MR 262240 | Zbl 0181.48803

[2] J.W. Duskin, Simplicial Methods and The Interpretation Of "Triple" Cohomology, Mem. A.M.S. 163 (1975). | Zbl 0376.18011

[3] M. Hofmann and T. Streicher The groupoid interpretation of type theory. In: G. Sambin and J. Smith (eds.) Twenty-Five Years of Constructive Type Theory, Oxford 1998. | MR 1686856 | Zbl 0930.03089

[4] L. Illusie, Complexe cotangent et deformations I, II, Springer Lecture Notes in Math. 239 (1971), 283 (1972). | MR 491680 | Zbl 0224.13014

[5] A. Kock, Characterization of stacks of principal fibre bundles, Institut Mittag-LefHer Report 27, 2000/ 2001.

[6] I. Moerdijk, Descent theory for toposes, Bull.Soc.Math.Belg.(A) 41 (1989), 373-391. | MR 1031756 | Zbl 0688.18003

[7] E. Palmgren, Identity Types and Groupoids, preprint 2001.