Familles de revêtements de la droite projective

Michel Emsalem

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 1, page 47-85
  • ISSN: 0037-9484

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Emsalem, Michel. "Familles de revêtements de la droite projective." Bulletin de la Société Mathématique de France 123.1 (1995): 47-85. <http://eudml.org/doc/87711>.

@article{Emsalem1995,
author = {Emsalem, Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {coverings of the projective line; Hurwitz spaces; inverse Galois theory; theorem of Fried-Völklein},
language = {fre},
number = {1},
pages = {47-85},
publisher = {Société mathématique de France},
title = {Familles de revêtements de la droite projective},
url = {http://eudml.org/doc/87711},
volume = {123},
year = {1995},
}

TY - JOUR
AU - Emsalem, Michel
TI - Familles de revêtements de la droite projective
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 1
SP - 47
EP - 85
LA - fre
KW - coverings of the projective line; Hurwitz spaces; inverse Galois theory; theorem of Fried-Völklein
UR - http://eudml.org/doc/87711
ER -

References

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  2. [Bir] BIRMAN (J.S.). — Braids, links, and mapping class groups. — Annals of Math. Studies, Princeton University Press, 1975. Zbl0305.57013
  3. [Car] CARTAN (H.). — Cours de topologie algébrique. — Polycopié de la Faculté des Sciences de Paris, 1969. 
  4. [De-Fr] DÈBES (P.) et FRIED (M.). — Non rigid situations in constructive Galois theory, Pacific J. Math., t. 163, 1, 1994, p. 81-122. Zbl0788.12001MR95c:12008
  5. [Dou] DOUADY (R.) et DOUADY (A.). — Théories galoisiennes. — CEDIC, Nathan, 1979. Zbl0428.30034MR82b:12024b
  6. [Fr] FRIED (M.). — Fields of definition of function fields and Hurwitz families; Groups as Galois groups, Communications in Algebra, t. 5 (1), 1977, p. 17-82. Zbl0478.12006MR56 #12006
  7. [Fr-Völ] FRIED (M.) and VÖLKLEIN (H.). — The inverse Galois problem and rational points on moduli spaces, Math. Ann., t. 290, 1991, p. 771-800. Zbl0763.12004MR93a:12004
  8. [Ful] FULTON (W.). — Hurwitz schemes and irreducibility of moduli of algebraic curves, Annals of Math., t. 90, 1969, p. 542-575. Zbl0194.21901MR41 #5375
  9. [Gr-Re] GRAUERT (H.) und REMMERT (R.). — Komplex Räume, Math. Ann., t. 136, 1958, p. 245-318. Zbl0087.29003MR21 #2063
  10. [Gro] GROTHENDIECK (A.). — Séminaire de géométrie algébrique, SGA1. — IHES, 1960-1961. Zbl0091.12002
  11. [Hart] HARTSHORNE (R.). — Algebraic Geometry. — Springer Verlag, 1977. Zbl0367.14001MR57 #3116
  12. [Hur] HURWITZ (A.). — Riemannsche Flächen mit gegebenem Veizweigungspunkten, Mathemetische Werke, Band, t. 1, p. 321-383. 
  13. [Mat] MATZAT (H.). — Constructive Galois theorie, Lecture Notes in Math., t. 1284, 1986. Zbl0634.12011
  14. [Ray] RAYNAUD (M.). — Géométrie algébrique et géométrie analytique, SGA1, XII, Lecture Note, Springer Verlag, t. 224, 1971, p. 311-343. MR50 #7129
  15. [Ser1] SERRE (J.-P.). — Géométrie algébrique et géométrie analytique, Ann. Inst. Fourier, t. 6, 1956, p. 1-42. Zbl0075.30401MR18,511a
  16. [Ser2] SERRE (J.-P.). — Topics in Galois Theory, cours à Harward, notes written by Henri Darmon, Jones and Bartlett Publ., Boston, (1992). Zbl0746.12001MR94d:12006
  17. [Wei] WEIL (A.). — The field of definition of a variety, Amer. J. Math. 78 (1956), p. 509-524; dans Oeuvres complètes (Collected papers) II, Springer Verlag, 291-306. Zbl0072.16001MR18,601a

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