2015/01/29 by Rafael B. Andrist, Frank Kutzschebauch, Andrist, Rafael B. +1
Mathematics · #32A07 (Primary) #32M10 (Secondary) #32M17 #32M25 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.CV #msc:32A07 #msc:32M10 #msc:32M17 #msc:32M25
paper · pdf · doi:10.48550/arxiv.1501.07475
23 pages; major changes in Section 5 concerning the dimension estimates of the kernel of homogeneous derivations
openalex publication_date 2015/01/29 · arxiv created 2016/04/06 · arxiv updated 2016/04/07 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28
We generalize the notion of the density property for complex manifolds to holomorphic fibrations, and introduce the notion of the fibred density property. We prove that the natural fibration of the spectral ball over the symmetrized polydisc enjoys the fibred density property and describe the automorphism group of the spectral ball.