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Algebraic singularities have maximal reductive automorphism groups

Published online by Cambridge University Press:  22 January 2016

Herwig Hauser  and
Gerd Müller
Herwig Hauser
Affiliation:
Institut für Mathematik Universität Innsbruck, Technikerstr. 25 A-6020 Innsbruck, Austria
Gerd Müller
Affiliation:
Fachbereich Mathematik Universität Mainz, Saarstr. 21 D-6500 Mainz, Federal Republic of Germany
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Let X = On/i be an analytic singularity where ṫ is an ideal of the C-algebra On of germs of analytic functions on (Cn, 0). Let denote the maximal ideal of X and A = Aut X its group of automorphisms. An abstract subgroup equipped with the structure of an algebraic group is called algebraic subgroup of A if the natural representations of G on all “higher cotangent spaces” are rational. Let π be the representation of A on the first cotangent space and A1 = π(A).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 113 , March 1989 , pp. 181 - 186
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

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