The Complex Projective Line

Jürgen Richter-Gebert ()
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Jürgen Richter-Gebert: TU München, Zentrum Mathematik (M10) LS Geometrie

Chapter 17 in Perspectives on Projective Geometry, 2011, pp 311-327 from Springer

Abstract: Abstract Now we will study the simplest case of a complex projective space: the complex projective line. We will see that even this case has already very rich geometric interpretations. The close relation of complex arithmetic operations to geometry allows us to express geometric properties by nice algebraic structures. In particular, this case will be the first example of a projective space in which we will be able to properly deal with circles.

Date: 2011
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DOI: 10.1007/978-3-642-17286-1_17

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