On the new \(k\)-th Yau algebras of isolated hypersurface singularities

DOI10.1007/s00209-019-02269-xzbMath1456.14005OpenAlexW2921542787MaRDI QIDQ2287987

Huaiqing Zuo, Naveed Hussain, Stephen Shing-Toung Yau

Publication date: 16 January 2020

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

Full work available at URL: https://doi.org/10.1007/s00209-019-02269-x

zbMATH Keywords

isolated hypersurface singularitiesweighted homogeneous singularitiesmoduli algebrafewnomialsLie algebra of derivations

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Related Items (16)

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 ⋮ TH YAU NUMBER OF ISOLATED HYPERSURFACE SINGULARITIES AND AN INEQUALITY CONJECTURE ⋮ 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 ⋮ 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 ⋮ 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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