Derivations of the moduli algebras of weighted homogeneous hypersurface singularities
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Publication:279716
DOI10.1016/j.jalgebra.2016.03.003zbMath1343.32021OpenAlexW2304480337MaRDI QIDQ279716
Huaiqing Zuo, Stephen Shing-Toung Yau
Publication date: 29 April 2016
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.03.003
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 (20)
Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities ⋮ On the Thom-Sebastiani property of quasi-homogeneous isolated hypersurface singularities ⋮ An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities ⋮ ON THE DERIVATION LIE ALGEBRAS OF FEWNOMIAL 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 ⋮ The nonexistence of negative weight derivations on positive dimensional isolated singularities: generalized Wahl conjecture ⋮ Higher Nash blow-up local algebras of singularities and its derivation Lie algebras ⋮ \(k\)-th Milnor numbers and \(k\)-th Tjurina numbers of weighted homogeneous singularities ⋮ Derivations of local \(k\)-th Hessian algebras of singularities ⋮ Generalized Cartan matrices associated to \(k\)-th Yau algebras of singularities and characterization theorem ⋮ 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 new \(k\)-th Yau algebras of isolated hypersurface singularities ⋮ On the generalized Cartan matrices arising from \(k\)-th Yau algebras of isolated hypersurface singularities ⋮ Inequality conjectures on derivations of local \(k\)-th Hessain algebras associated to 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
Cites Work
- Unnamed Item
- Solvable Lie algebras and generalized Cartan matrices arising from isolated singularities
- Rational fibrations, homogeneous spaces with positive Euler characteristics and Jacobians
- Rational homotopy of Serre fibrations
- Rational universal fibrations and flag manifolds
- Nonexistence of negative weight derivations on graded Artin algebras: A conjecture of Halperin
- Derivations of negative weight and non-smoothability of certain singularities
- Nonexistence of negative weight derivation of moduli algebras of weighted homogeneous singularities
- On negative weight derivations of the moduli algebras of weighted homogeneous hypersurface singularities
- Reduced weighted complete intersection and derivations
- Quasihomogeneous isolated singularities of hyperplanes.
- Solvability of Lie Algebras Arising from Isolated Singularities and Nonisolatedness of Singularities Defined by sℓ(2, C) Invariant Polynomials
- Micro-Local Characterization of Quasi-Homogeneous Singularities
- Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
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