The Dimension of the Moduli Space of Pointed Algebraic Curves of Low Genus

2022/02/19 by Jan Stevens, Stevens, Jan
Computer Science · Mathematics · #14H55 14H45 14H10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2202.09687

openalex publication_date 2022/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explicitly compute the moduli space pointed algebraic curves with a given numerical semigroup as Weierstrass semigroup for many cases of genus at most seven and determine the dimension for all semigroups of genus seven.

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