ON THE DERIVATION LIE ALGEBRAS OF FEWNOMIAL SINGULARITIES

DOI10.1017/S0004972718000266zbMath1403.32017OpenAlexW2802902166MaRDI QIDQ4576820

Huaiqing Zuo, Naveed Hussain, Stephen Shing-Toung Yau

Publication date: 11 July 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718000266

zbMATH Keywords

fewnomialderivation Lie algebraYau number

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25) Local complex singularities (32S05)

Related Items (16)

Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities ⋮ An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection singularities ⋮ TH YAU NUMBER OF ISOLATED HYPERSURFACE SINGULARITIES AND AN INEQUALITY CONJECTURE ⋮ On the index of the gradient of a real invertible polynomial ⋮ Higher Nash blow-up local algebras of singularities and its derivation Lie algebras ⋮ Halperin’s conjecture in formal dimensions up to 20 ⋮ 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 ⋮ Variation of complex structures and variation of Lie algebras. II: New Lie algebras arising from singularities

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• On Jacobian Ideals Invariant by a Reducible 𝑠ℓ(2,𝐂) Action

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