1995/06/30 by Takao Kato, Kato, Takao, Changho Keem +3
Computer Science · Engineering · Mathematics · #14C20(Secondary) #14H45(Primary) 14H10 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #alg-geom #math.AG #msc:14H10
paper · pdf · doi:10.48550/arxiv.alg-geom/9506026
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openalex publication_date 1995/07/03 · arxiv created 1995/07/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a triple covering X of genus g of a general (in the sense of Brill-Noether) curve C of genus h, we show the existence of base-point-free pencils of degree d which are not composed with the triple covering for any d≥ g-[3h+1\over 2]-1 by utilizing some enumerative methods and computations. We also discuss about the sharpness of our main result and the so-called Castelnuovo-Severi bound byexhibiting some examples.