Pseudo-reflection group actions on local rings

DOI10.1017/S0027763000020158zbMath0488.13008OpenAlexW1599171836MaRDI QIDQ3949144

Luchezar L. Avramov

Publication date: 1982

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020158

zbMATH Keywords

Cohen-Macaulay ringcomplete intersectionGorensteinpseudo-reflectionsramification of prime idealsinvariants of finite groupsflat extensions of ringstrivial inertia subgroup

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Geometric invariant theory (14L24) Morphisms of commutative rings (13B10) Ramification problems in algebraic geometry (14E22)

Related Items

Normal extension of regular local rings ⋮ Hypersurfaces in modular invariant theory ⋮ Variation of local fundamental group and local first homology group ⋮ Moderately ramified actions in positive characteristic ⋮ The type of the invariants of a finite pseudo-reflection group acting on a local Cohen-Macaulay ring ⋮ Endliche Automorphismengruppen analytischer C-Algebren und ihre Invarianten

Cites Work

• Homology of local flat extensions and complete intersection defects
• Endliche Automorphismengruppen analytischer C-Algebren und ihre Invarianten
• Inequalities related to certain couples of local rings
• The rank of syzygies under the action by a finite group
• Observations on crossed products and fixed rings
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci