Conductors of wildly ramified covers, II

Consider a wildly ramified G-Galois cover of curves φ:Y→ P 1 k branched at only one point over an algebraically closed field k of characteristic p. In this note, I prove using formal patching that all sufficiently large conductors occur for such covers φ when the Sylow p-subgroups of G have order p....

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Published inComptes rendus. Mathématique Vol. 335; no. 5; pp. 485 - 487
Main Author Pries, Rachel J
Format Journal Article
LanguageEnglish
Published Paris Elsevier SAS 01.01.2002
Elsevier
Subjects
Algebra
Algebraic geometry
Exact sciences and technology
Mathematics
Sciences and techniques of general use
Branching
Galois cover
Cover
Wild ramification
Number field
Conductor
Algebraic geometry
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Summary:Consider a wildly ramified G-Galois cover of curves φ:Y→ P 1 k branched at only one point over an algebraically closed field k of characteristic p. In this note, I prove using formal patching that all sufficiently large conductors occur for such covers φ when the Sylow p-subgroups of G have order p. To cite this article: R.J. Pries, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 485–487. Soit k un corps algébriquement clos de caractéristique p. Soit φ :Y→ P 1 k un revêtement fini galoisien, de groupe G, ramifié seulement au-dessus d'un point (avec ramification sauvage). On montre l'existence d'un revêtement de ce type avec tous conducteurs suffisamment grands quand les p-Sylow de G sont d'ordre p. La démonstration consiste à étudier la géométrie formelle. Pour citer cet article : R.J. Pries, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 485–487.
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ISSN:1631-073X
1778-3569
DOI:10.1016/S1631-073X(02)02492-5