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:
File | Dimensione | Formato | |
---|---|---|---|
The stable subset of a univalent self-map.pdf
solo utenti autorizzati
Licenza:
Copyright dell'editore
Dimensione
547.86 kB
Formato
Adobe PDF
|
547.86 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.