1998/07/02 by Margarida Mendes Lopes, M. Mendes Lopes, Rita Pardini +3
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.AG
paper · pdf · doi:10.48550/arxiv.math/9807006
LaTeX 2.09, 38 pages
arxiv created 1998/07/02 · openalex publication_date 1998/07/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We classify completely the surfaces of general type whose canonical map is 3-to-1 onto a surface of minimal degree in projective space. These surfaces fall into 5 distinct classes and we give explicit examples belonging to each of these classes. As far as we know, one of the examples thus constructed was unknown and it is a surface whose canonical system has two infinitely near base points.