Hyperbolic $n$-dimensional manifolds with automorphism group of dimension $n^2$

Mathematics – Complex Variables

Scientific paper

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32 pages, to appear in GAFA

Scientific paper

We obtain a complete classification of complex Kobayashi-hyperbolic manifolds
of dimension $n\ge 2$, for which the dimension of the group of holomorphic
automorphisms is equal to $n^2$.

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