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Invariant subrings which are complete intersections, I: (Invariant subrings of finite Abelian groups)

Published online by Cambridge University Press:  22 January 2016

Keiichi Watanabe
Keiichi Watanabe*
Affiliation:
Tokyo Metropolitan University
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Let G be a finite subgroup of GL(n, C) (C is the field of complex numbers). Then G acts naturally on the polynomial ring S = C[X1, …, Xn]. We consider the following

Problem. When is the invariant subring SG a complete intersection?

In this paper, we treat the case where G is a finite Abelian group. We can solve the problem completely. The result is stated in Theorem 2.1.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 77 , February 1980 , pp. 89 - 98
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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