To any germ $X$ of a complex analytic variety with local ring $\OX$ one associates the topological Lie algebra $Θ(X)= \Der\,\OX$ 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 $Θ(X)$.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
1
号
1
ページ
239 - 250
発行年
1994
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1298545
Mathmatical Subject Classification
32S05(MSC1991)
14B05(MSC1991)
17B66(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
1993-09-29
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On the Lie Algebra $Θ(X)$ of Vector Fields on a Singularity
jms010107.pdf
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