2002/10/17 by Torsten Ekedahl, Ekedahl, Torsten
Mathematics · #14H10 #14H30 #14H45 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14H10 #msc:14H30 #msc:14H45
paper · pdf · doi:10.48550/arxiv.math/0210273
20 pages
arxiv created 2002/10/17 · openalex publication_date 2002/10/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we discuss a class of hyperelliptic curves introduced by Abel in a 1826 paper. After some indications of the context in which he introduced them and a description of his main result we give some results on the moduli space of such curves. In particular we compute the dimension of it at each of its points as well as giving a combinatorial formula for the number of components.