complex line
Definition.
Let . The set is called the complex line.
A complex line is a holomorphic complex affine imbedding of into so that if is holomorphic, then is also holomorphic. That is the complex structures of and are compatible. Hence not every two dimensional real affine space is a complex line.
Definition.
References
- 1 Steven G. Krantz. , AMS Chelsea Publishing, Providence, Rhode Island, 1992.
Title | complex line |
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Canonical name | ComplexLine |
Date of creation | 2013-03-22 14:29:05 |
Last modified on | 2013-03-22 14:29:05 |
Owner | jirka (4157) |
Last modified by | jirka (4157) |
Numerical id | 5 |
Author | jirka (4157) |
Entry type | Definition |
Classification | msc 32-00 |
Related topic | AffineTransformation |
Defines | complex affine space |