We give a complete description of the stable subset (the union of all backward orbit with bounded step) and of the pre-models of a univalent self-map , where X is a Kobayashi hyperbolic cocompact complex manifold, such as the ball or the polydisc in . The result is obtained studying the complex structure of a decreasing intersection of complex manifolds, all biholomorphic to X.
Arosio, L. (2015). The stable subset of a univalent self-map. MATHEMATISCHE ZEITSCHRIFT, 281(3-4), 1089-1110 [10.1007/s00209-015-1521-9].
The stable subset of a univalent self-map
Arosio L.
2015-01-01
Abstract
We give a complete description of the stable subset (the union of all backward orbit with bounded step) and of the pre-models of a univalent self-map , where X is a Kobayashi hyperbolic cocompact complex manifold, such as the ball or the polydisc in . The result is obtained studying the complex structure of a decreasing intersection of complex manifolds, all biholomorphic to X.File in questo prodotto:
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