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| HAL : hal-00323532, version 1 |
| arXiv : math/0210153 |
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| Normal affine surfaces with $\bf C^*$-actions |
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| Hubert Flenner 1Mikhail Zaidenberg 2 |
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| (10/10/2002) |
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| A classification of normal affine surfaces admitting a $\bf C^*$-action was given in the work of Bia{\l}ynicki-Birula, Fieseler and L. Kaup, Orlik and Wagreich, Rynes and others. We provide a simple alternative description of such surfaces in terms of their graded rings as well as by defining equations. This is based on a generalization of the Dolgachev-Pinkham-Demazure construction in the case of a hyperbolic grading. As an apllication we determine the structure of singularities, of the orbits and the divisor class groups for such surfaces. |
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| 1 : | Fakultät für Mathematik |
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Ruhr-Universität Bochum |
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| 2 : | Institut Fourier (IF) |
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CNRS : UMR5582 – Université Joseph Fourier - Grenoble I |
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| Domaine | : | Mathématiques/Géométrie algébrique Mathématiques/Algèbre commutative |
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| C*-action – graded algebra – affine surface – cyclic quotient singularity |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/math/0210153 |
| hal-00323532, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00323532 | |
| oai:hal.archives-ouvertes.fr:hal-00323532 | |
| Contributeur : Mikhail Zaidenberg | |
| Soumis le : Lundi 22 Septembre 2008, 14:07:13 | |
| Dernière modification le : Lundi 22 Septembre 2008, 14:07:13 | |
