Galois covers with prescribed fibers : the Beckmann-Black problem
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 28 (1999) no. 2, pp. 273-286. 
@article{ASNSP_1999_4_28_2_273_0,
     author = {D\`ebes, Pierre},
     title = {Galois covers with prescribed fibers : the {Beckmann-Black} problem},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {273--286},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 28},
     number = {2},
     year = {1999},
     mrnumber = {1736229},
     zbl = {0954.12002},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1999_4_28_2_273_0/}
}
TY  - JOUR
AU  - Dèbes, Pierre
TI  - Galois covers with prescribed fibers : the Beckmann-Black problem
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1999
SP  - 273
EP  - 286
VL  - 28
IS  - 2
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1999_4_28_2_273_0/
LA  - en
ID  - ASNSP_1999_4_28_2_273_0
ER  - 
%0 Journal Article
%A Dèbes, Pierre
%T Galois covers with prescribed fibers : the Beckmann-Black problem
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1999
%P 273-286
%V 28
%N 2
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1999_4_28_2_273_0/
%G en
%F ASNSP_1999_4_28_2_273_0
Dèbes, Pierre. Galois covers with prescribed fibers : the Beckmann-Black problem. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 28 (1999) no. 2, pp. 273-286. http://archive.numdam.org/item/ASNSP_1999_4_28_2_273_0/

[Be] S. Beckmann, Is every extension of Q the specialization of a branched covering?, J. Algebra 164 (1994), 430-451. | MR | Zbl

[Bl1] E. Black, Arithmetic lifting of dihedral extensions, J. Algebra 203 (1998), 12-29. | MR | Zbl

[Bl2] E. Black, Deformation of dihedral 2-group extensions of fields, Trans. Amer. Math. Soc. (to appear). | MR | Zbl

[Bl3] E. Black, On semidirect products and arithmetic lifting property, J. London Math. Soc. (to appear). | MR | Zbl

[De1] P. Dèbes, Covers of P1 over the p-adics, Contemporary Math. 186 (1995), 217-238. | MR | Zbl

[De2] P. Dèbes, Density results for Hilbert subsets, Indian J. Pure Appl. Math. (to appear). | MR | Zbl

[De3] P. Dèbes, Some arithmetic properties of algebraic covers, In: "Aspects of Galois Theory", Cambridge University Press, (to appear). | MR | Zbl

[De4] P. Dèbes, Regular realization of abelian groups with controlled ramification, Contemporary Math., Volume of the Finite Field conference in Seattle, Summer 1997 (to appear). | MR | Zbl

[DeDes] P. Dèbes - B. Deschamps, The inverse Galois problem over large fields, In "Geometric Galois Action", London Math. Soc. Lecture Note Series, Cambridge University Press, (1997), 119-138. | MR | Zbl

[DeDo] P. Dèbes - J-C. Douai, Algebraic covers: field of moduli versus field of definition, Ann. Sci. École Norm. Sup. 30 (1997), 303-338. | Numdam | MR | Zbl

[DeFr] P. Dèbes - M. Fried, Non rigid situations in constructive Galois Theory, Pacific J. Math. 163 (1994), 81-122. | MR | Zbl

[DeHa] P. Dèbes - D. Haran, Almost hilbertian fields, Acta Arithmetica (to appear). | MR | Zbl

[E1] N. Elkies, ABC implies Mordell, Internat. Math. Res. Notices 7 (1991), 99-109. | MR | Zbl

[FrJa] M. Fried - M. Jarden, "Field Arithmetic", Springer-Verlag, 1986. | MR | Zbl

[FrVo] M. Fried - H. Völklein, The embedding problem over a Hilbertian PAC-field, Ann. Math. 135 (1992), 469-481. | MR | Zbl

[Har] D. Harbater, "Galois covering of the arithmetic line", Lecture Notes in Math. 1240 (1987), 165-195. | MR | Zbl

[La] S. Lang, "Algebra", Addison-Wesley, 1965. | MR | Zbl

[Li] Q. Liu, Tout groupe fini est groupe de Galois sur Qp (T), Contemporary Math. 186 (1995), 261-265. | MR | Zbl

[Me] L. Merel, Bornes pour la torsion des courbes elliptiques sur les corps de nombres, Inv. Math. 124 (1996), 437-449. | MR | Zbl

[Mo] L. Moret-Bailly, Hauteur et classes de Chern sur les surfaces arithmetiques, Astérisque 183 (1990), 37-58. | Numdam | MR | Zbl

[Po] F Pop, Embedding problems over large fields, Ann. Math. 144 (1996), 1-35. | MR | Zbl

[Sa] D.J. Saltman, Generic Galois extensions and problems in field theory, Adv. Math. 43 (1982), 250-283. | MR | Zbl