Galois covers of ℙ 1 over ℚ with prescribed local or global behavior by specialization

Bernat Plans[1]; Núria Vila[2]

  • [1] Dept. de Matemàtica Aplicada I Universitat Politècnica de Catalunya Av. Diagonal, 647 08028 Barcelona, Spain
  • [2] Dept. d’Àlgebra i Geometria Universitat de Barcelona Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain

Journal de Théorie des Nombres de Bordeaux (2005)

  • Volume: 17, Issue: 1, page 271-282
  • ISSN: 1246-7405

Abstract

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This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of ℙ ℚ 1 .

How to cite

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Plans, Bernat, and Vila, Núria. "Galois covers of $\mathbb{P}^1$ over $\mathbb{Q}$ with prescribed local or global behavior by specialization." Journal de Théorie des Nombres de Bordeaux 17.1 (2005): 271-282. <http://eudml.org/doc/249432>.

@article{Plans2005,
abstract = {This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of $\mathbb\{P\}^1_\mathbb\{Q\}$.},
affiliation = {Dept. de Matemàtica Aplicada I Universitat Politècnica de Catalunya Av. Diagonal, 647 08028 Barcelona, Spain; Dept. d’Àlgebra i Geometria Universitat de Barcelona Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain},
author = {Plans, Bernat, Vila, Núria},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {inverse Galois problem; Galois covers of },
language = {eng},
number = {1},
pages = {271-282},
publisher = {Université Bordeaux 1},
title = {Galois covers of $\mathbb\{P\}^1$ over $\mathbb\{Q\}$ with prescribed local or global behavior by specialization},
url = {http://eudml.org/doc/249432},
volume = {17},
year = {2005},
}

TY - JOUR
AU - Plans, Bernat
AU - Vila, Núria
TI - Galois covers of $\mathbb{P}^1$ over $\mathbb{Q}$ with prescribed local or global behavior by specialization
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2005
PB - Université Bordeaux 1
VL - 17
IS - 1
SP - 271
EP - 282
AB - This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of $\mathbb{P}^1_\mathbb{Q}$.
LA - eng
KW - inverse Galois problem; Galois covers of
UR - http://eudml.org/doc/249432
ER -

References

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