2019/12/20 by Ingrid Bauer, Bauer, Ingrid, Christian Gleissner +1
Mathematics · #14B05 #14B12 #14J10 #14J40 #14L30 #14M25 #14M99 #32G05 #32G07 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1912.09973
openalex publication_date 2019/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For each n ≥ 3 the authors provide an n-dimensional rigid compact complex manifold of Kodaira dimension 1. First they construct a series of singular quotients of products of (n-1) Fermat curves with the Klein quartic, which are rigid. Then using toric geometry a suitable resolution of singularities is constructed and the deformation theories of the singular model and of the resolutions are compared, showing the rigidity of the resolutions.