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| HAL : hal-00627521, version 1 |
| arXiv : 1109.6302 |
| Fiche détaillée |  Récupérer au format |
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| Proper twin-triangular Ga-actions on A^4 are translations |
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| Adrien Dubouloz 1David R. Finston 2 |
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| (28/09/2011) |
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| An additive group action on an affine 3 -space over a complex Dedekind domain A is said to be twin-triangular if it is generated by a locally nilpotent derivation of A[y,z,t] of the form rd/dy+p(y)d/dz + q(y)d/dt , where r belongs to A and p,q belong to A[y] . We show that these actions are translations if and only if they are proper. Our approach avoids the computation of rings of invariants and focuses more on the nature of geometric quotients for such actions. |
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| 1 : | Institut de Mathématiques de Bourgogne (IMB) |
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CNRS : UMR5584 – Université de Bourgogne |
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| 2 : | Department of Mathematical siences |
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New Mexico State University |
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| Domaine | : | Mathématiques/Géométrie algébrique |
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| Additive group – twin-triangular derivation – geometric quotient – locally trivial |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00627521, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00627521 | |
| oai:hal.archives-ouvertes.fr:hal-00627521 | |
| Contributeur : Adrien Dubouloz | |
| Soumis le : Mercredi 28 Septembre 2011, 19:46:57 | |
| Dernière modification le : Mercredi 28 Septembre 2011, 21:22:34 | |
