Théorème de Van Kampen pour les champs algébriques

Vincent Zoonekynd

Annales mathématiques Blaise Pascal (2002)

  • Volume: 9, Issue: 1, page 101-145
  • ISSN: 1259-1734

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Zoonekynd, Vincent. "Théorème de Van Kampen pour les champs algébriques." Annales mathématiques Blaise Pascal 9.1 (2002): 101-145. <http://eudml.org/doc/79240>.

@article{Zoonekynd2002,
author = {Zoonekynd, Vincent},
journal = {Annales mathématiques Blaise Pascal},
keywords = {algebraic stack; fundamental group; theorem of Seifert and van Kampen},
language = {fre},
number = {1},
pages = {101-145},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Théorème de Van Kampen pour les champs algébriques},
url = {http://eudml.org/doc/79240},
volume = {9},
year = {2002},
}

TY - JOUR
AU - Zoonekynd, Vincent
TI - Théorème de Van Kampen pour les champs algébriques
JO - Annales mathématiques Blaise Pascal
PY - 2002
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 9
IS - 1
SP - 101
EP - 145
LA - fre
KW - algebraic stack; fundamental group; theorem of Seifert and van Kampen
UR - http://eudml.org/doc/79240
ER -

References

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  2. [2] P. Deligne and D. Mumford. The irreducibility of the space of curves of given genus. Publ. Math. IHES, 36 :75-109, 1969. Zbl0181.48803MR262240
  3. [3] E. Friedlander. Étale homotopy of simplicial schemes, volume 104 of Annals of Math. Studies.Princeton University Press, 1982. Zbl0538.55001MR676809
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  5. [5] A. Grothendieck. Revêtements étales et groupe fondamental, volume 224 of LNM. Springer Verlag, 1971. Zbl0234.14002MR354651
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  9. [9] O. Leroy. Groupoïde fondamental et théorème de Van Kampen dans les topos. Cahiers mathématiques de l'université de Montpelier, 1979. Zbl0511.18002MR587312
  10. [10] I. Moerdijk. Prodiscrete groups and galois toposes. Proc. Kon. Ned. Ac. Wet. series A, 92 :219-235, 1089. Zbl0687.18004MR1005054
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  12. [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. Zbl0902.14019MR1483111
  13. [13] D.A. Pronk. Groupoid representations for sheaves on orbifolds. Ph.D. thesis, Universiteit Utrecht, 1995. 
  14. [14] W.P. Thurston. The geometry and topology of 3-manifolds. Princeton, 1978. http://msri.org/publications/books/gt3m/. 
  15. [15] A. Vistoli. Intersection theory on algebraic stacks and on their moduli spaces. Invent. math., 97 :613-670, 1989. Zbl0694.14001MR1005008
  16. [16] V. Zoonekynd. The fundamental group of an algebraic stack. math.AG/ 0111071. 
  17. [17] V. Zoonekynd. La tour de Teichmüller-Grothendieck. thèse de doctorat, disponible en http://www.institut.math.jussieu.fr/theses/2001/ zoonekynd/, 2001. 

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