Weierstrass semigroups on double covers of genus four curve

2013/10/06 by S. J. Kim, Kim, S. J., Jiryo Komeda +2
Computer Science · Mathematics · #14H30 #14H45 #14H55 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14H30 #msc:14H45 #msc:14H55

paper · pdf · doi:10.48550/arxiv.1310.1543

25 pages

arxiv created 2013/10/06 · openalex publication_date 2013/10/06 · arxiv updated 2013/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramification points on double covers of C which have genus greater than 11. Moreover, we construct double covers with ramification points whose Weierstrass semigroups are the possible ones.

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