2022/04/04 by Christian Gleißner, Gleißner, Christian, Julia Kotonski +1
Mathematics · #14J32 #14L30 #20H15 #32Q25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Group Theory (math.GR) #Primary: 14J30 #Secondary: 20C15 #math.AG #math.CV #math.GR #msc:14J30 #msc:14J32 #msc:14L30 #msc:20C15 #msc:20H15 #msc:32Q25
paper · pdf · doi:10.48550/arxiv.2204.01414
15 pages, MAGMA code on personal homepage
arxiv created 2022/04/04 · openalex publication_date 2022/04/04 · arxiv updated 2022/04/05 · openalex created_date 2022/04/27 · openalex updated_date 2026/07/28
We provide a fine classification of Gorenstein quotients of three-dimensional abelian varieties with isolated singularities, up to biholomorphism and homeomorphism. This refines a result of Oguiso and Sakurai about fibred Calabi-Yau threefolds of type III0. Our proof relies on methods of crystallographic group theory applied to the orbifold fundamental groups of such quotients.