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- W4287588946 abstract "Motivated by the finiteness of the set of automorphisms Aut([Formula: see text]) of a projective manifold of general type [Formula: see text], and by Kobayashi–Ochiai’s conjecture that a projective manifold dim([Formula: see text])-analytically hyperbolic (also known as strongly measure hyperbolic) should be of general type, we investigate the finiteness properties of Aut([Formula: see text]) for a complex manifold satisfying a (pseudo-) intermediate hyperbolicity property. We first show that a complex manifold [Formula: see text] which is (dim([Formula: see text])-1)-analytically hyperbolic has indeed finite automorphisms group. We then obtain a similar statement for a pseudo-(dim([Formula: see text])-1)-analytically hyperbolic, strongly measure hyperbolic projective manifold [Formula: see text], under an additional hypothesis on the size of the degeneracy set. Some of the properties used during the proofs lead us to introduce a notion of intermediate Picard hyperbolicity, which we last discuss." @default.
- W4287588946 created "2022-07-25" @default.
- W4287588946 creator A5025583533 @default.
- W4287588946 date "2022-08-11" @default.
- W4287588946 modified "2023-09-30" @default.
- W4287588946 title "Complex-analytic intermediate hyperbolicity, and finiteness properties" @default.
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- W4287588946 doi "https://doi.org/10.1142/s0219199722500468" @default.
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