Construction of covers in positive characteristic via degeneration

2007/09/13 by Irene I. Bouw, Bouw, Irene I.
Mathematics · #14H10 #14H30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14H10 #msc:14H30

paper · pdf · doi:10.48550/arxiv.0709.2036

arxiv created 2007/09/13 · openalex publication_date 2007/09/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we construct examples of covers of the projective line in positive characteristic such that every specialization is inseparable. The result illustrates that it is not possible to construct all covers of the generic r-pointed curve of genus zero inductively from covers with a smaller number of branch points.

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