A note on the kernel
of a locally nilpotent derivation
Author:
Gene Freudenburg
Journal:
Proc. Amer. Math. Soc. 124 (1996), 27-29
MSC (1991):
Primary 13B25; Secondary 14L30
DOI:
https://doi.org/10.1090/S0002-9939-96-03003-1
MathSciNet review:
1285990
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Abstract | References | Similar Articles | Additional Information
Abstract: This note concerns locally nilpotent derivations 
of the polynomial ring ![$\mathbf C[X_1,\dots, X_n]$](/proc/1996-124-01/S0002-9939-96-03003-1/gif-abstract/img2.gif)
. It is shown that if 
annihilates a polynomial in two variables, then 
annihilates a variable.
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- 2 I. R. Shafarevich, Osnovy algebraicheskoĭ geometrii. Tom 1, 2nd ed., “Nauka”, Moscow, 1988 (Russian). Algebraicheskie mnogoobraziya v proektivnom prostranstve. [Algebraic varieties in projective space]. MR 969372
- 3 Dennis M. Snow, Unipotent actions on affine space, Topological methods in algebraic transformation groups (New Brunswick, NJ, 1988) Progr. Math., vol. 80, Birkhäuser Boston, Boston, MA, 1989, pp. 165–176. MR 1040863
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Additional Information
Gene Freudenburg
Affiliation:
Department of Mathematical Sciences, Ball State University, Muncie, Indiana 47306
Address at time of publication:
Department of Mathematics, University of Southern Indiana, Evansville, Indiana 47712
DOI:
https://doi.org/10.1090/S0002-9939-96-03003-1
Received by editor(s):
June 6, 1994
Received by editor(s) in revised form:
July 15, 1994
Communicated by:
Wolmer V. Vasconcelos
Article copyright:
© Copyright 1996
American Mathematical Society
