2001/10/18 by Francesco Zucconi, Zucconi, Francesco
Mathematics · #14J29 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:14J29
paper · pdf · doi:10.48550/arxiv.math/0110206
To Appear Comm. in Alg
arxiv created 2001/10/18 · openalex publication_date 2001/10/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We classify all the surfaces of general type whose canonical map is composed with a pencil if they are the quotient of the diagonal action by an Abelian group acting over the product of two curves. As far as we know all the previous examples with isotrivial canonical map are very particular cases of our construction; moreover we find an unexpected action by a group of order 16. This construction can be easily generalizable to all dimensions.