I was just wondering what the more fundamental definition of a conic in complex projective 2 space is. Is it better to say that it is a curve such that the dehomogenisation of its defining equation is a represents a conic in R^2; OR simply a curve defined by a homogeneous degree two polynomial.(adsbygoogle = window.adsbygoogle || []).push({});

Or is it better to define it in a more geometric way?

I suppose this is all a matter of opinion really.

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# Projective Conic Sections

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