@article{ASENS_1997_4_30_3_303_0,
author = {D\`ebes, Pierre and Douai, Jean-Claude},
title = {Algebraic covers : field of moduli versus field of definition},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {303--338},
year = {1997},
publisher = {Elsevier},
volume = {Ser. 4, 30},
number = {3},
doi = {10.1016/s0012-9593(97)89922-3},
mrnumber = {98k:11081},
zbl = {0906.12001},
language = {en},
url = {https://www.numdam.org/articles/10.1016/s0012-9593(97)89922-3/}
}
TY - JOUR AU - Dèbes, Pierre AU - Douai, Jean-Claude TI - Algebraic covers : field of moduli versus field of definition JO - Annales scientifiques de l'École Normale Supérieure PY - 1997 SP - 303 EP - 338 VL - 30 IS - 3 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/s0012-9593(97)89922-3/ DO - 10.1016/s0012-9593(97)89922-3 LA - en ID - ASENS_1997_4_30_3_303_0 ER -
%0 Journal Article %A Dèbes, Pierre %A Douai, Jean-Claude %T Algebraic covers : field of moduli versus field of definition %J Annales scientifiques de l'École Normale Supérieure %D 1997 %P 303-338 %V 30 %N 3 %I Elsevier %U https://www.numdam.org/articles/10.1016/s0012-9593(97)89922-3/ %R 10.1016/s0012-9593(97)89922-3 %G en %F ASENS_1997_4_30_3_303_0
Dèbes, Pierre; Douai, Jean-Claude. Algebraic covers : field of moduli versus field of definition. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 3, pp. 303-338. doi: 10.1016/s0012-9593(97)89922-3
[ArTa] and , Class field theory, W. A. Benjamin, 1967. | Zbl
[Be] , On Galois extensions of a maximal cyclotomic field, (Math. USSR Izvestija, Vol. 14, 12 1980, pp. 247-256). | Zbl
[CoHa] and , Hurwitz families and arithmetic Galois groups, (Duke Math. J., 52 1985, pp. 821-839). | Zbl | MR
[CouGr] and , Dessins from a geometric point of view, in The Grothendieck theory of Dessins d'Enfants, (Leila Schneps ed., Camb. U. Press, 1995, pp. 79-113). | Zbl | MR
[Db1] , Groupes de Galois sur K(T), (Séminaire de Théorie des Nombres, Bordeaux, 2, 1990, pp. 229-243). | Zbl | MR | Numdam
[Db2] , Covers of ℙ1 over the p-adics, “Recent developments in the Inverse Galois Problem”, (Contemporary Math., Vol. 186, 1995, pp. 217-238). | Zbl | MR
[DbDo1] and , Local-global principle for algebraic covers, Israel J. Math., to appear, 1997. | Zbl
[DbDo2] and , Gerbes and covers, preprint, 1997.
[DbEm] and , On field of moduli of curves, preprint, 1996.
[Dew] , Fields of moduli of arithmetic covers, Thesis, 1991.
[Fr] , Fields of definition of function fields and Hurwitz families, Groups as Galois groups, (Comm. in Alg., 1, 1977, pp. 17-82). | Zbl | MR
[Gi] , Cohomologie non abélienne, (Grundlehren Math. Wiss. 179, Springer-Verlag, 1971). | Zbl | MR
[Mi] , Etale Cohomology, Princeton University Press, 1980. | Zbl | MR
[SGA1] et al., Revêtements étales et groupe fondamental, (Séminaire de Géométrie algébrique 1960/1961, Lecture Notes in Math., 224, 1971). | Zbl
[Se] , Cohomologie galoisienne, (LNM 5, Springer-Verlag, 4e Edition 1973). | Zbl | MR
[We] , The field of definition of a variety, Oeuvres complètes (Collected papers) II, Springer-Verlag, pp. 291-306.
Cité par Sources :





