2007/01/17 by Luis Fuentes Garcia, Luis Fuentes García, Garcia, Luis Fuentes
Engineering · Mathematics · #14H30 #14H51 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:14H30 #msc:14H51
paper · pdf · doi:10.48550/arxiv.math/0701472
arxiv created 2007/01/17 · openalex publication_date 2007/01/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X be a smooth curve of genus g. When pi>=3g and d>=pi-2g+1 we show the existence of a double covering gamma:C-->X where C a smooth curve of genus pi with a base-point-free pencil of degree d which is not the pull-back of a pencil on X.