Surjective derivations in small dimensions
| Autor: | Gurjar, R. V., Masuda, K., Miyanishi, M. |
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| Rok vydání: | 2012 |
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| Druh dokumentu: | Working Paper |
| Popis: | Inspired by a result of D. Cerveau on surjective derivations on a polynomial ring in two variables over a complex number field C, we consider a surjective derivation defined on an affine domain over C of dimension one or two. Though our proofs are mostly algebraic or algebro-geometric, the idea using a result of Dimca-Saito which is behind the arguments of Cerveau and based on the differential complex of the polynomial ring in n variables is inspiring and affects our arguments. Comment: 27 pages |
| Databáze: | arXiv |
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