Holomorphic Mappings into Projective Space with Lacunary Hyperplanes
- 1 June 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 50, 199-216
- https://doi.org/10.1017/s0027763000015646
Abstract
In this note, we shall examine some results of Bloch [2] and Cartan [3] concerning complex projective space minus hyperplanes in general position. The purpose is to restate their results in a more general setting by using the intrinsic pseudo-distance defined on a complex space [16] and the concept of tautness introduced by Wu in [18]. In the process we shall generalize some results of Dufresnoy [4] and Fuj imoto [7].Keywords
This publication has 11 references indexed in Scilit:
- The Kobayashi distance induces the standard topologyProceedings of the American Mathematical Society, 1972
- Satake compacitification and extension of holomorphic mappingsInventiones Mathematicae, 1972
- Holomorphic maps into complex projective space omitting hyperplanesTransactions of the American Mathematical Society, 1972
- Extensions of the big Picard's theoremTohoku Mathematical Journal, 1972
- Extensions of holomorphic mapsTransactions of the American Mathematical Society, 1972
- Satake compactification and the great Picard theoremJournal of the Mathematical Society of Japan, 1971
- Intrinsic measures on complex manifolds and holomorphic mappingsMemoirs of the American Mathematical Society, 1970
- On the relations between taut, tight and hyperbolic manifoldsBulletin of the American Mathematical Society, 1970
- Normal families of holomorphic mappingsActa Mathematica, 1967
- ber Modifikationen und exzeptionelle analytische MengenMathematische Annalen, 1962