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- W3107521208 abstract "Motivated by the finiteness of the set of automorphisms Aut(X) of a projective manifold X, and by Kobayashi-Ochiai's conjecture that a projective manifold dim(X)-analytically hyperbolic (also known as strongly measure hyperbolic) should be of general type, we investigate the finiteness properties of Aut(X) for a complex manifold satisfying a (pseudo-) intermediate hyperbolicity property. We first show that a complex manifold X which is (dim(X) − 1)-analytically hyperbolic has indeed finite automorphisms group. We then obtain a similar statement for a pseudo-(dim(X) − 1)-analytically hyperbolic, strongly measure hyperbolic projective manifold X, 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.
- W3107521208 created "2020-12-07" @default.
- W3107521208 creator A5025583533 @default.
- W3107521208 date "2020-11-24" @default.
- W3107521208 modified "2023-09-27" @default.
- W3107521208 title "COMPLEX-ANALYTIC INTERMEDIATE HYPERBOLICITY, AND FINITENESS PROPERTIES" @default.
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