Galois covers with prescribed fibers : the Beckmann-Black problem

Pierre Dèbes

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1999)

  • Volume: 28, Issue: 2, page 273-286
  • ISSN: 0391-173X

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Dèbes, Pierre. "Galois covers with prescribed fibers : the Beckmann-Black problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 28.2 (1999): 273-286. <http://eudml.org/doc/84377>.

@article{Dèbes1999,
author = {Dèbes, Pierre},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {inverse Galois theory; Hilbertian fields; coverings; Beckmann-Black problem; pseudo-algebraically closed field},
language = {eng},
number = {2},
pages = {273-286},
publisher = {Scuola normale superiore},
title = {Galois covers with prescribed fibers : the Beckmann-Black problem},
url = {http://eudml.org/doc/84377},
volume = {28},
year = {1999},
}

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
PB - Scuola normale superiore
VL - 28
IS - 2
SP - 273
EP - 286
LA - eng
KW - inverse Galois theory; Hilbertian fields; coverings; Beckmann-Black problem; pseudo-algebraically closed field
UR - http://eudml.org/doc/84377
ER -

References

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  4. [Bl3] E. Black, On semidirect products and arithmetic lifting property, J. London Math. Soc. (to appear). Zbl0944.12001MR1753807
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  11. [DeFr] P. Dèbes - M. Fried, Non rigid situations in constructive Galois Theory, Pacific J. Math.163 (1994), 81-122. Zbl0788.12001MR1256178
  12. [DeHa] P. Dèbes - D. Haran, Almost hilbertian fields, Acta Arithmetica (to appear). Zbl0933.12002MR1683634
  13. [E1] N. Elkies, ABC implies Mordell, Internat. Math. Res. Notices7 (1991), 99-109. Zbl0763.11016MR1141316
  14. [FrJa] M. Fried - M. Jarden, "Field Arithmetic", Springer-Verlag, 1986. Zbl0625.12001MR868860
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  17. [La] S. Lang, "Algebra", Addison-Wesley, 1965. Zbl0193.34701MR197234
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  22. [Sa] D.J. Saltman, Generic Galois extensions and problems in field theory, Adv. Math.43 (1982), 250-283. Zbl0484.12004MR648801

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