A characterization of local nilpotence for dimension two polynomial derivations
Resumen:
Let k be an algebraically closed field. We prove that a polynomial k-derivation D in two variables is locally nilpotent if and only if the subgroup of polynomial k-automorphisms which commute with D admits elements whose degree is arbitrary big.
| 2020 | |
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Commutative Algebra Polynomials Locally nilpotent derivations |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38864 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Publicado también en: Communications in Algebra, 2021, 50(5): 1884-1888. DOI: 10.1080/00927872.2021.1992631 |
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