On Affine Normal Forms and a Classification of Homogeneous Surfaces in Affine Three-Space

Author: Eastwood M.   Ezhov V.  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.77, Iss.1, 1999-08, pp. : 11-69

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Abstract

We classify homogeneous surfaces in real and complex affine three-space. This is achieved by choosing affine coordinates so that the surface is defined by a function whose Taylor series is in a preferred normal form.