Document Zbl 0497.13017

The type of the invariants of a finite pseudo-reflection group acting on a local Cohen-Macaulay ring. (English) Zbl 0497.13017

Arch. Math. 40, 412-414 (1983).

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MSC:

13H10	Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
14L24	Geometric invariant theory
13B10	Morphisms of commutative rings

Keywords:

Cohen-Macaulay ring; group of automorphisms; ring of invariants; type; Ext; pseudo-reflections

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References:

[1]	L.Avramov, Pseudo-reflection group actions on local rings. Dept. of Mathematics, Stockholm Univ., Report N10, 1981 (to appear in Nagoya Math. J.). · Zbl 0488.13008
[2]	H.Cartan and S.Eilenberg, Homological algebra. Princeton, N. J. 1956.
[3]	S. Goto, Invariant subrings under the action by a finite group generated by pseudo-reflections. Osaka J. Math.15, 47-50 (1978). · Zbl 0407.13017
[4]	S. Goto, The rank of syzygies under the action by a finite group. Nagoya Math. J.71, 1-12 (1978). · Zbl 0417.13004
[5]	M. Hochster andJ. A. Eagon, Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci. Amer. J. Math.93, 1020-1058 (1971). · Zbl 0244.13012 · doi:10.2307/2373744
[6]	J.Herzog und E.Kunz (Hrsg.), Der kanonische Modul eines Cohen-Macaulay-Rings. LNM238, Berlin-Heidelberg-New York 1971. · Zbl 0231.13009
[7]	K. Watanabe, Invariant subrings of a Gorenstein local ring by a finite group generated by pseudo-reflections. J. Fac. Sci. Univ. Tokyo, Sec. IA,24, 87-92 (1977). · Zbl 0352.13012

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