Nonexistence of negative weight derivation of moduli algebras of weighted homogeneous singularities

DOI10.1016/S0021-8693(05)80001-8zbMath0839.32015OpenAlexW2081689929MaRDI QIDQ1891488

Hao Chen, Stephen Shing-Toung Yau, Yi-Jing Xu

Publication date: 13 June 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(05)80001-8

zbMATH Keywords

isolated singularitymoduli algebrahypersurface singularityquasihomogeneous singularitiesgerm of analytic hypersurface

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25) Invariants of analytic local rings (32S10)

Related Items (15)

k-th singular locus moduli algebras of singularities and their derivation Lie algebras ⋮ Derivations of the moduli algebras of weighted homogeneous hypersurface singularities ⋮ On negative weight derivations of the moduli algebras of weighted homogeneous hypersurface singularities ⋮ TH YAU NUMBER OF ISOLATED HYPERSURFACE SINGULARITIES AND AN INEQUALITY CONJECTURE ⋮ Nonexistence of negative weight derivations of the local \(k\)-th Hessian algebras associated to isolated singularities ⋮ Higher Nash blow-up local algebras of singularities and its derivation Lie algebras ⋮ Halperin’s conjecture in formal dimensions up to 20 ⋮ On the non-existence of negative weight derivations of the new moduli algebras of singularities ⋮ Derivation Lie algebras of new \(k\)-th local algebras of isolated hypersurface singularities ⋮ On two inequality conjectures for the \(k\)-th Yau numbers of isolated hypersurface singularities ⋮ On the generalized Cartan matrices arising from \(k\)-th Yau algebras of isolated hypersurface singularities ⋮ Generalized Cartan matrices arising from new derivation Lie algebras of isolated hypersurface singularities ⋮ Non-existence of negative weight derivations on positively graded Artinian algebras ⋮ Variation of complex structures and variation of Lie algebras. II: New Lie algebras arising from singularities ⋮ Nonexistence of negative weight derivations on graded Artin algebras: A conjecture of Halperin

Cites Work

• Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities
• Variation of complex structures and variation of Lie algebras
• Classification of isolated hypersurface singularities by their moduli algebras
• Quasihomogeneous isolated singularities of hyperplanes.
• Continuous family of finite-dimensional representations of a solvable Lie algebra arising from singularities
• Singularities Defined by sℓ(2, C) Invariant Polynomials and Solvability of Lie Algebras Arising From Isolated Singularities
• Solvability of Lie Algebras Arising from Isolated Singularities and Nonisolatedness of Singularities Defined by sℓ(2, C) Invariant Polynomials

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