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

Michael Eastwood; Vladimir Ezhov

doi:10.1023/A:1005083518793

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

Michael Eastwood, Vladimir Ezhov

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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.

Original language	English
Pages (from-to)	11-69
Number of pages	59
Journal	GEOMETRIAE DEDICATA
Volume	77
Issue number	1
DOIs	https://doi.org/10.1023/A:1005083518793
Publication status	Published - Aug 1999
Externally published	Yes

Keywords

Affine
Classification
Homogeneous
Normal form
Surface

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title = "On Affine Normal Forms and a Classification of Homogeneous Surfaces in Affine Three-Space",

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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author = "Michael Eastwood and Vladimir Ezhov",

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KW - Classification

KW - Homogeneous

KW - Normal form

KW - Surface

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

Abstract

Keywords

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