2004/03/22 by Edoardo Ballico, Ballico, Edoardo, Claudio Fontanari +1
Mathematics · #14H47 #14H51 #14H55 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #msc:14H47 #msc:14H51 #msc:14H55
paper · pdf · doi:10.48550/arxiv.math/0403354
arxiv created 2004/03/22 · openalex publication_date 2004/03/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Here we investigate the canonical Gaussian map for higher multiple coverings of curves, the case of double coverings being completely understood thanks to previous work by Duflot. In particular, we prove that every smooth curve can be covered with degree not too high by a smooth curve having arbitrarily large genus and surjective canonical Gaussian map. As a consequence, we recover an asymptotic version of a recent result by Ciliberto and Lopez and we address the Arbarello subvariety in the moduli space of curves.