On the Lie Algebra $Î(X)$ of Vector Fields on a Singularity

J. Math. Sci. Univ. Tokyo
Vol. 1 (1994), No. 1, Page 239--250.

Hauser, Herwig ; MÃ¼ller, Gerd
On the Lie Algebra $Î(X)$ of Vector Fields on a Singularity
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Abstract:
To any germ $X$ of a complex analytic variety with local ring $\OX$ one associates the topological Lie algebra $Î(X)= \Der\,\OX$ of vector fields on $X$. We show that isolated hypersurface singularities $X$ of dimension at least $3$ are uniquely determined up to isomorphism by the topological Lie algebra $Î(X)$.

Mathematics Subject Classification (1991): Primary 32S05; Secondary 14B05, 17B66
Mathematical Reviews Number: MR1298545

Received: 1993-09-29