Galois covers with prescribed fibers : the Beckmann-Black problem
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1999)
- Volume: 28, Issue: 2, page 273-286
- ISSN: 0391-173X
Access Full Article
topHow to cite
topDèbes, 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
top- [Be] S. Beckmann, Is every extension of Q the specialization of a branched covering?, J. Algebra164 (1994), 430-451. Zbl0802.12003MR1271246
- [Bl1] E. Black, Arithmetic lifting of dihedral extensions, J. Algebra203 (1998), 12-29. Zbl0924.12003MR1620697
- [Bl2] E. Black, Deformation of dihedral 2-group extensions of fields, Trans. Amer. Math. Soc. (to appear). Zbl0931.12005MR1467461
- [Bl3] E. Black, On semidirect products and arithmetic lifting property, J. London Math. Soc. (to appear). Zbl0944.12001MR1753807
- [De1] P. Dèbes, Covers of P1 over the p-adics, Contemporary Math.186 (1995), 217-238. Zbl0856.12004MR1352273
- [De2] P. Dèbes, Density results for Hilbert subsets, Indian J. Pure Appl. Math. (to appear). Zbl0923.12001MR1677959
- [De3] P. Dèbes, Some arithmetic properties of algebraic covers, In: "Aspects of Galois Theory", Cambridge University Press, (to appear). Zbl0977.14009MR1708602
- [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). Zbl0997.12004MR1732231
- [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. Zbl0905.12004MR1653011
- [DeDo] P. Dèbes - J-C. Douai, Algebraic covers: field of moduli versus field of definition, Ann. Sci. École Norm. Sup.30 (1997), 303-338. Zbl0906.12001MR1443489
- [DeFr] P. Dèbes - M. Fried, Non rigid situations in constructive Galois Theory, Pacific J. Math.163 (1994), 81-122. Zbl0788.12001MR1256178
- [DeHa] P. Dèbes - D. Haran, Almost hilbertian fields, Acta Arithmetica (to appear). Zbl0933.12002MR1683634
- [E1] N. Elkies, ABC implies Mordell, Internat. Math. Res. Notices7 (1991), 99-109. Zbl0763.11016MR1141316
- [FrJa] M. Fried - M. Jarden, "Field Arithmetic", Springer-Verlag, 1986. Zbl0625.12001MR868860
- [FrVo] M. Fried - H. Völklein, The embedding problem over a Hilbertian PAC-field, Ann. Math.135 (1992), 469-481. Zbl0765.12002MR1166641
- [Har] D. Harbater, "Galois covering of the arithmetic line", Lecture Notes in Math.1240 (1987), 165-195. Zbl0627.12015MR894511
- [La] S. Lang, "Algebra", Addison-Wesley, 1965. Zbl0193.34701MR197234
- [Li] Q. Liu, Tout groupe fini est groupe de Galois sur Qp (T), Contemporary Math.186 (1995), 261-265. Zbl0834.12004MR1352276
- [Me] L. Merel, Bornes pour la torsion des courbes elliptiques sur les corps de nombres, Inv. Math.124 (1996), 437-449. Zbl0936.11037MR1369424
- [Mo] L. Moret-Bailly, Hauteur et classes de Chern sur les surfaces arithmetiques, Astérisque183 (1990), 37-58. Zbl0727.14015MR1065154
- [Po] F Pop, Embedding problems over large fields, Ann. Math.144 (1996), 1-35. Zbl0862.12003MR1405941
- [Sa] D.J. Saltman, Generic Galois extensions and problems in field theory, Adv. Math.43 (1982), 250-283. Zbl0484.12004MR648801
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.