Algebraic singularities have maximal reductive automorphism groups

DOI10.1017/S0027763000001343zbMath0649.32010MaRDI QIDQ3794492

Herwig Hauser, Gerd Müller

Publication date: 1989

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

zbMATH Keywords

automorphismalgebraic singularitiesarbitrary isolated singularitiesreductive algebraic subgroup

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Complex Lie groups, group actions on complex spaces (32M05) Local complex singularities (32S05) Complex singularities (32Sxx)

Related Items

Maximal multihomogeneity of algebraic hypersurface singularities ⋮ Hypersurface singularities with monomial Jacobian ideal ⋮ Small quotient minimal log discrepancies ⋮ A Graded Domain Is Determined at Its Vertex. Applications to Invariant Theory ⋮ Automorphism groups for quasi-homogeneous Gorenstein surface singularities ⋮ Deformations of reductive group actions

Cites Work

• On the approximation property of excellent rings
• Algebraic approximation of structures over complete local rings
• Quasihomogeneous isolated singularities of hyperplanes.
• Formal relations between analytic functions
• General Néron desingularization and approximation