Théorème de Van Kampen pour les champs algébriques
Zoonekynd, Vincent
Annales mathématiques Blaise Pascal, Tome 9 (2002), p. 101-145 / Harvested from Numdam
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     author = {Zoonekynd, Vincent},
     title = {Th\'eor\`eme de Van Kampen pour les champs alg\'ebriques},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {9},
     year = {2002},
     pages = {101-145},
     mrnumber = {1914264},
     zbl = {01805824},
     zbl = {1050.14014},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AMBP_2002__9_1_101_0}
}

Zoonekynd, Vincent. Théorème de Van Kampen pour les champs algébriques. Annales mathématiques Blaise Pascal, Tome 9 (2002) pp. 101-145. http://gdmltest.u-ga.fr/item/AMBP_2002__9_1_101_0/

[1] R. Brown. Topology : a geometric account of general topology, homotopy types and the fundamental groupoid. Chichester, 1988. | MR 984598 | Zbl 0655.55001

[2] P. Deligne and D. Mumford. The irreducibility of the space of curves of given genus. Publ. Math. IHES, 36 :75-109, 1969. | Numdam | MR 262240 | Zbl 0181.48803

[3] E. Friedlander. Étale homotopy of simplicial schemes, volume 104 of Annals of Math. Studies. Princeton University Press, 1982. | MR 676809 | Zbl 0538.55001

[4] J. Giraud. Théorie de la descente. Mémoires de la société mathématique de France, 2, 1964. | Numdam | MR 190142 | Zbl 0211.32902

[5] A. Grothendieck. Revêtements étales et groupe fondamental, volume 224 of LNM. Springer Verlag, 1971. | MR 354651 | Zbl 0234.14002

[6] A. Grothendieck and J.-L. Verdier. Théorie des topos et cohomologie étale des schémas, volume 269-271 of LNM. Springer Verlag, 1972. | MR 354653

[7] A. Haefliger. Groupes d'holonomie et classifiants. Astérisque, 116 :70-107, 1984. | MR 755163 | Zbl 0562.57012

[8] G. Laumon and L. Moret-Bailly. Champs algébriques, volume 39 of Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer Verlag, 2000. | MR 1771927 | Zbl 0945.14005

[9] O. Leroy. Groupoïde fondamental et théorème de Van Kampen dans les topos. Cahiers mathématiques de l'université de Montpelier, 1979. | MR 587312 | Zbl 0511.18002

[10] I. Moerdijk. Prodiscrete groups and galois toposes. Proc. Kon. Ned. Ac. Wet. series A, 92 :219-235, 1089. | MR 1005054 | Zbl 0687.18004

[11] I. Moerdijk and D.A. Pronk. Orbifolds, sheaves and groupoids. K-theory, 12 :3-21, 1997. | MR 1466622 | Zbl 0883.22005

[12] T. Oda. Étale homotopy type of the moduli space of algebraic curves. In L. Schneps and P. Lochak, editors, Geometric Galois Actions, volume 242 of London Mathematical Society, Lecture Notes Series, pages 85-95. Cambridge University Press, 1997. | MR 1483111 | Zbl 0902.14019

[13] D.A. Pronk. Groupoid representations for sheaves on orbifolds. Ph.D. thesis, Universiteit Utrecht, 1995.

[14] W.P. Thurston. The geometry and topology of 3-manifolds. Princeton, 1978. http://msri.org/publications/books/gt3m/.

[15] A. Vistoli. Intersection theory on algebraic stacks and on their moduli spaces. Invent. math., 97 :613-670, 1989. | MR 1005008 | Zbl 0694.14001

[16] V. Zoonekynd. The fundamental group of an algebraic stack. math.AG/ 0111071.

[17] V. Zoonekynd. La tour de Teichmüller-Grothendieck. thèse de doctorat, disponible en http://www.institut.math.jussieu.fr/theses/2001/ zoonekynd/, 2001.