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arXiv · 1709.03052

Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

Alexander Isaev
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Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n\ge 2$ whose holomorphic automorphism group has dimension $n^2-2$. This result complements an existing classification for automorphism group dimension $n^2-1$ and greater obtained without the homogeneity assumption.

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Alexander Isaev. 2017-09-10. Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms. https://arxiv.org/abs/1709.03052

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