Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

2018/05/05 by Isaev, Alexander
#53C30 #53C35 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.03065

Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n≥ 4 whose group of holomorphic automorphisms has dimension either n²-4, or n²-5, or n²-6. This paper continues a series of articles that achieve classifications for automorphism group dimension n²-3 and greater.

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