A Note on the a-numbers and p-ranks of Kummer Covers

2007/10/10 by Otto W. Johnston, Otto Johnston, Johnston, Otto
Computer Science · Mathematics · #14Hxx #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14Hxx

paper · pdf · doi:10.48550/arxiv.0710.2120

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

Abstract

We study the a-numbers and p-ranks of Kummer covers of the projective line, and we give bounds for these numbers.

Related

• a-Numbers of Cyclic Degree p² Covers of the Projective Line
• Kummer Covers with Many Points
• Klein-Four covers of the projective line in characteristic two
• On cyclic groups covers of the projective line
• The Rank of the Cartier operator on cyclic covers of the projective line