Mumford coverings of the projective line

Marius van der Put; Harm H. Voskuil

Mumford coverings of the projective line

Marius van der Put, Harm H. Voskuil

Algebra

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A Mumford covering of the projective line over a complete non-archimedean valued field K is a Galois covering X → P1K such that X is a Mumford curve over K. The question which finite groups do occur as Galois group is answered in this paper. This result is extended to the case where P1K is replaced by any Mumford curve over K.

Originele taal-2	English
Pagina's (van-tot)	98-105
Aantal pagina's	8
Tijdschrift	Archiv der mathematik
Volume	80
Nummer van het tijdschrift	1
Status	Published - jan.-2003

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title = "Mumford coverings of the projective line",

abstract = "A Mumford covering of the projective line over a complete non-archimedean valued field K is a Galois covering X → P1K such that X is a Mumford curve over K. The question which finite groups do occur as Galois group is answered in this paper. This result is extended to the case where P1K is replaced by any Mumford curve over K.",

author = "Put, {Marius van der} and Voskuil, {Harm H.}",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)",

year = "2003",

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AU - Voskuil, Harm H.

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N2 - A Mumford covering of the projective line over a complete non-archimedean valued field K is a Galois covering X → P1K such that X is a Mumford curve over K. The question which finite groups do occur as Galois group is answered in this paper. This result is extended to the case where P1K is replaced by any Mumford curve over K.

AB - A Mumford covering of the projective line over a complete non-archimedean valued field K is a Galois covering X → P1K such that X is a Mumford curve over K. The question which finite groups do occur as Galois group is answered in this paper. This result is extended to the case where P1K is replaced by any Mumford curve over K.

M3 - Article

SN - 0003-889X

VL - 80

SP - 98

EP - 105

JO - Archiv der mathematik

JF - Archiv der mathematik

IS - 1

ER -

Mumford coverings of the projective line

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