JournalsprimsVol. 43, No. 3pp. 661–684

Galois Covers of Degree <em>p</em> and Semi-Stable Reduction of Curves in Mixed Characteristics

  • Mohamed Saïdi

    University of Exeter, United Kingdom
Galois Covers of Degree <em>p</em> and Semi-Stable Reduction of Curves in Mixed Characteristics cover
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Abstract

In this paper we study the degeneration of a Galois cover f : YX of degree p above a proper and smooth curve X over a complete discrete valuation ring of mixed characteristics (0, p). We exhibit geometric and combinatorial degeneration data which describe the geometry of the special fiber of a minimal semi-stable model of Y.

Cite this article

Mohamed Saïdi, Galois Covers of Degree <em>p</em> and Semi-Stable Reduction of Curves in Mixed Characteristics. Publ. Res. Inst. Math. Sci. 43 (2007), no. 3, pp. 661–684

DOI 10.2977/PRIMS/1201012037