Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

A note on the kernel of a locally nilpotent derivation

Author(s): Gene Freudenburg
Journal: Proc. Amer. Math. Soc. 124 (1996), 27-29.
MSC (1991): Primary 13B25; Secondary 14L30
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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

References:

1: R. Rentschler, Opérations du groupe additif sur le plan affine, C.R. Acad. Sci. Paris Sér. A 267 (1968), 384--387. MR 38:1093
2: I. R. Shafarevich, Fundamentals of algebraic geometry, Nauka, Moscow, 1988 (Vols. 1 and 2). MR 90g:14001;MR 90g:14002
3: D. Snow, Unipotent actions on affine space, Topological Methods in Algebraic Transformation Groups, Birkhäuser, Boston, 1989. MR 91f:14048


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS