Variation of complex structures and variation of Lie algebras. II: New Lie algebras arising from singularities

DOI10.4310/jdg/1594260016zbMath1454.14007OpenAlexW3042191960WikidataQ115164878 ScholiaQ115164878MaRDI QIDQ782478

Naveed Hussain, Bingyi Chen, Huaiqing Zuo, Stephen Shing-Toung Yau

Publication date: 27 July 2020

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1594260016

zbMATH Keywords

Lie algebraderivationisolated singularity

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Simple, semisimple, reductive (super)algebras (17B20) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Deformations of singularities (14B07) Coadjoint orbits; nilpotent varieties (17B08)

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Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities, k-th singular locus moduli algebras of singularities and their derivation Lie algebras, 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, 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, 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

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