A note on the kernel of a locally nilpotent derivation

Author:

Freudenburg Gene

Abstract

This note concerns locally nilpotent derivations D D of the polynomial ring C [ X 1 , , X n ] \mathbf C[X_1,\dots , X_n] . It is shown that if D D annihilates a polynomial in two variables, then D D annihilates a variable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference3 articles.

1. Opérations du groupe additif sur le plan affine;Rentschler, Rudolf;C. R. Acad. Sci. Paris S\'{e}r. A-B,1968

2. Unipotent actions on affine space;Snow, Dennis M.,1989

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