Invariant subrings which are complete intersections, I: (Invariant subrings of finite Abelian groups)
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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 followingProblem. 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.
1985 ◽
Vol 26
(2)
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pp. 133-140
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2011 ◽
Vol 12
(01n02)
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pp. 125-135
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2019 ◽
Vol 150
(4)
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pp. 1937-1964
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2015 ◽
Vol 92
(1)
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pp. 24-31
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2008 ◽
Vol 18
(02)
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pp. 243-255
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2007 ◽
Vol 17
(04)
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pp. 837-849
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