Analytic plane
From Encyclopedia of Mathematics
complex-analytic plane
A non-empty set of points 
in the complex vector space 
that satisfies a system of equations
 |
 |
The number 
is called the complex codimension, while 
is called the complex dimension of the analytic plane. The real dimension of the analytic plane equals 
and is even, but not all even-dimensional real planes in 
are analytic planes. Complex one-dimensional analytic planes are sometimes called complex, or analytic, straight lines. See also Analytic surface.
How to Cite This Entry:
Analytic plane. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Analytic_plane&oldid=45178
Analytic plane. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Analytic_plane&oldid=45178
This article was adapted from an original article by E.D. SolomentsevE.M. Chirka (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article