This article is cited in 2 scientific papers (total in 2 papers)
On hyperbolic embedding of complements of divisors and the limiting behavior of the Kobayashi–Rroyden metric
M. G. Zaidenberg
In the following three cases criteria are found for complements of divisors in compact complex manifolds to be hyperbolically embedded in the sense of Kobayashi: for divisors with normal crossings, for arbitrary divisors in complex surfaces, and for unions of hyperplanes in projective space. A criterion is given for two-dimensional polynomial polyhedra to be hyperbolically embedded, and Iitaka's conjecture about conditions for hyperbolicity of the complement of a set of projective lines is confirmed. Upper semicontinuity is proved for the Kobayashi–Royden pseudometrics and Kobayashi–Eisenman pseudovolumes of a family of complex manifolds containing degenerate fibers, and conditions are given under which the hyperbolic length (volume) on the smooth part of a degenerate fiber is the limit of the hyperbolic length (volume) on the nonsingular fibers.
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Mathematics of the USSR-Sbornik, 1986, 55:1, 55–70
M. G. Zaidenberg, “On hyperbolic embedding of complements of divisors and the limiting behavior of the Kobayashi–Rroyden metric”, Mat. Sb. (N.S.), 127(169):1(5) (1985), 55–71; Math. USSR-Sb., 55:1 (1986), 55–70
Citation in format AMSBIB
\paper On hyperbolic embedding of complements of divisors and the limiting behavior of the Kobayashi--Rroyden metric
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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This publication is cited in the following articles:
M. G. Zaidenberg, “Isotrivial families of curves on affine surfaces and characterization of the affine plane”, Math. USSR-Izv., 30:3 (1988), 503–532
M. G. Zaidenberg, “Stability of hyperbolic imbeddedness and construction of examples”, Math. USSR-Sb., 63:2 (1989), 351–361
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