The Weierstrass subgroup of a curve has maximal rank

2005/04/07 by Martine Girard, Girard, Martine, David Kohel +3 · 1 citation
Computer Science · Mathematics · #11G30 #14H10 #14H40 #14H55 #14Q05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0504130

openalex publication_date 2005/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Weierstrass points of the generic curve of genus g over an algebraically closed field of characteristic 0 generate a group of maximal rank in the Jacobian.

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