Analytic plane

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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. E.D. SolomentsevE.M. Chirka (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098