Inequality conjectures on derivations of local \(k\)-th Hessain algebras associated to isolated hypersurface singularities

DOI10.1007/s00209-020-02688-1zbMath1467.32014OpenAlexW3120354539WikidataQ123153290 ScholiaQ123153290MaRDI QIDQ2043098

Huaiqing Zuo, Naveed Hussain, Stephen Shing-Toung Yau

Publication date: 22 July 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-020-02688-1

zbMATH Keywords

Lie algebraisolated hypersurface singularitymoduli algebra

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25) Solvable, nilpotent (super)algebras (17B30) Local complex singularities (32S05) Deformations of singularities (14B07)

Related Items (9)

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 ⋮ Nonexistence of negative weight derivations of the local \(k\)-th Hessian algebras associated to isolated singularities ⋮ On derivation Lie algebras of isolated complete intersection singularities ⋮ 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 ⋮ Derivation Lie algebras of new \(k\)-th local algebras of isolated hypersurface singularities

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