On Affine Normal Forms and a Classification of Homogeneous Surfaces in Affine Three-Space |
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Authors: | Michael Eastwood Vladimir Ezhov |
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Affiliation: | (1) Department of Pure Mathematics, University of Adelaide, South Australia, 5005 |
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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. |
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Keywords: | affine homogeneous surface classification normal form. |
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