Locally nilpotent derivations on affine surfaces with a $\C^*$-action

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We give a classification of normal affine surfaces admitting an algebraic group action with an open orbit. In particular an explicit algebraic description of the affine coordinate rings and the defining equations of such varieties is given. By our methods we recover many known results, e.g. the classification of normal affine surfaces with a `big' open orbit of Gizatullin and Popov or some of the classification results of Danilov-Gizatullin, Bertin and others.
Date of writing: 2/03/2004

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Algebraic Geometry, 14R05, 14R20, 14J50

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http://salesiana.dossiersoluciones.com/handle/123456789/70440

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403215
 http://arxiv.org/abs/math/0403215

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arXiv