Some unlimited families of minimal surfaces of general type with the canonical map of degree 8

2019/08/29 by Nguyen Bin, Bin, Nguyen
Mathematics · #14J29 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1908.11363

openalex publication_date 2019/08/29 · openalex created_date 2019/09/05 · openalex updated_date 2026/07/28

Abstract

In this note, we construct nine families of projective complex minimal surfaces of general type having the canonical map of degree 8 and irregularity 0 or 1. For six of these families the canonical system has a non trivial fixed part.

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