Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group
classification
🧮 math.DG
math.CV
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dimensiongroupautomorphismhomogeneouskobayashi-hyperbolicmanifoldsachievearticles
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We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n\ge 4$ whose group of holomorphic automorphisms has dimension either $n^2-4$, or $n^2-5$, or $n^2-6$. This paper continues a series of articles that achieve classifications for automorphism group dimension $n^2-3$ and greater.
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