2006/08/01 by Ingrid Bauer, Fabrizio Catanese, Bauer, Ingrid +1
Mathematics · #14J25 #14J29 #14J80 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.CV #msc:14J25 #msc:14J29 #msc:14J80
paper · pdf · doi:10.48550/arxiv.math/0608020
14 pages
arxiv created 2006/08/01 · openalex publication_date 2006/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Answering a question posed by Enriques, we construct a minimal smooth algebraic surface S of general type over the complex numbers with K2 = 45 and pg = 4, and with birational canonical map. Our surface is a regular (q=0) ball quotient which is an etale quotient of a Hirzebruch covering of the plane. The canonical system |KS| has a fixed part and the degree of the canonical image is 19.