Irreducibility and stable rationality of the loci of Weierstrass points on curves of genus at most six

2011/05/13 by Evan M. Bullock, Bullock, Evan M.
Computer Science · Mathematics · #14E08 #14H10 #14H45 (Primary) #14H55 #14M20 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14E08 #msc:14H10 #msc:14H45 #msc:14H55 #msc:14M20

paper · pdf · doi:10.48550/arxiv.1105.2784

10 pages

openalex publication_date 2011/05/13 · arxiv created 2012/05/02 · arxiv updated 2012/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that for any numerical semigroup H of genus g at most 6, the locus of Weierstrass points on curves of genus g with Weierstrass semigroup H is irreducible and that for all but possibly two semigroups it is stably rational.

Citations

• Subcanonical points on algebraic curves

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