Continuing the classification of homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

2022/02/25 by Elliot Herrington, Herrington, Elliot
Mathematics · #32M05 #32M10 #32Q45 #Advanced Algebra and Geometry #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2202.13861

openalex publication_date 2022/02/25 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We classify all homogeneous Kobayashi-hyperbolic manifolds of dimension n ≥ 2 whose group of holomorphic automorphisms has dimension either n² - 7 or n² - 8. This paper continues the work of A. Isaev, who classified all such manifolds with automorphism group dimension n² - 6 and greater.

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