Conductors of wildly ramified covers, I

Consider a wildly ramified G-Galois cover of curves branched at only one point over an algebraically closed field k of characteristic p. For any p-pure group G whose Sylow p-subgroups have order p, I show the existence of such a cover with small conductor. The proof uses an analysis of the semi-stab...

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Bibliographic Details
Published inComptes rendus. Mathématique Vol. 335; no. 5; pp. 481 - 484
Main Author PRIES, Rachel J
Format Journal Article
LanguageEnglish
Published Paris Elsevier 01.09.2002
Subjects
Algebra
Algebraic geometry
Exact sciences and technology
Mathematics
Sciences and techniques of general use
Branching
Galois cover
Stability
Cover
Wild ramification
Subgroup
Degeneration
Sylow p group
Algebraic geometry
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Summary:Consider a wildly ramified G-Galois cover of curves branched at only one point over an algebraically closed field k of characteristic p. For any p-pure group G whose Sylow p-subgroups have order p, I show the existence of such a cover with small conductor. The proof uses an analysis of the semi-stable reduction of families of covers.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1631-073X
1778-3569
1778-3569
DOI:10.1016/S1631-073X(02)02491-3