ON THE BOREL THEOREM
DOI:
https://doi.org/10.37560/matbil21451017hKeywords:
Complex manifold, Projective space, Holomorphic curves, Holomorphic curves omitting hyperplane, Kobayashi hyperbolicityAbstract
In this note we give a new characterization of holomorphic curves which lies in the complement of \(2n\) hyperplanes in general position. This is a generalisation of The Borel Theorem. By M.Green, any holomorphic curves which lies in the complement of \(2n + 1\) hyperplanes in general position is constant. Using our generalisation of The Borel Theorem, we can easily show Green’s Theorem.
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2021-05-29
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Copyright (c) 2021 Matematichki Bilten
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
[1]
F. Haggui and A. Jalled, “ON THE BOREL THEOREM”, Mat. Bilt., vol. 45, no. 1, pp. 17–21, May 2021, doi: 10.37560/matbil21451017h.
