Talk:Complex geometry

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I am tempted to redirect this to complex plane. The fundamental theorem has nothing to do with geometry, and Gauss' ruler-and-compass constructions were not proved using complex numbers to my knowledge. If those to items are removed from the article, there's really nothing much left. The geometry of complex numbers is already explained in complex number. AxelBoldt 19:47 Feb 22, 2003 (UTC)

Well, it sounds like a good idea... but we'd need an actual article at Complex plane instead of a redirect to complex number! -- Tarquin 21:47 Feb 22, 2003 (UTC)

If this is supposed to be about the geometry of the complex plane, then perhaps prominence should be given to the fact that the only holomorphic bijections of complex projective 1-space to itself are linear fractional transformations, which preserve circles (a straight line being regarded as a circle that passes through the point at infinity). Michael Hardy 21:50 Feb 22, 2003 (UTC)

Actually, in mathematics proper, "complex geometry" is the study of complex manifolds and functions of many complex variables. Every year, there are tens (I would estimate as about 50) conferences on "complex geometry" (please check the Google).

The definition "application of complex numbers to plane geometry" is useless, misleading and should be removed somewhere - to "complex plane" for instance. A quick search in Google shows that everywhere (except Wikipedia) complex geometry means "study of complex manifolds and functions of many complex variables". It's hard to guess where the authors of the article as it is now came at their definiton, Google does not find anything similar.

Unless there are reasonable objections, I remove the present content to "complex plane". Tiphareth 15:08, 16 September 2006 (UTC)