The space of nodal curves of type p,q with given Weierstraßsemigroup

2011/06/30 by Helmut Knebl, Knebl, Helmut, Ernst Kunz +3
Computer Science · Engineering · Mathematics · #14H50 #14H55 #Advanced Numerical Analysis Techniques #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.1106.6343

openalex publication_date 2011/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue the investigation of curves of type p,q started in [KKW]. We study the space of such curves and the space of nodal curves with prescribed Weierstraßsemigroup. A necessary and sufficient criterion for a numerical semigroup to be a Weierstraßsemigroup is given. We find a class of Weierstraßsemigroups which apparently has not yet been described in the literature.

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