Locally nilpotent derivations of the polynomial ring in n variables over the complex field, algebraic actions of the additive group G. of complex numbers on C", and vector fields on C" admitting a strictly polynomial flow, are equivalent objects. The polynomial centralizer of the vector field corres
โฆ LIBER โฆ
Locally nilpotent derivations of polynomial rings
โ Scribed by F. B. Pakovich
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1995
- Tongue
- English
- Weight
- 138 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
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Given a UFD R containing the rational numbers, we study locally nilpotent w x R-derivations of the polynomial ring R X, Y ; in particular, we give a generalization of Rentschler's Theorem and a criterion for the existence of a slice. These results are then applied to describe rank two locally nilpot