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.
Let such that are linearly independent over , then. The set
is called the complex affine space.
- 1 Steven G. Krantz. , AMS Chelsea Publishing, Providence, Rhode Island, 1992.
|Date of creation||2013-03-22 14:29:05|
|Last modified on||2013-03-22 14:29:05|
|Last modified by||jirka (4157)|
|Defines||complex affine space|