On the non-existence of negative weight derivations of the new moduli algebras of singularities

We propose a new conjecture about the non-existence of negative weight derivations of the new moduli algebras of weighted homogeneous hypersurface singularities and verify this conjecture up to dimension three.

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Bibliographic Details
Published inJournal of algebra Vol. 564; pp. 199 - 246
Main Authors Ma, Guorui, Yau, Stephen S.-T., Zuo, Huaiqing
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.12.2020
Subjects
Derivation Lie algebra
Isolated singularity
Weighted homogeneous
Weighted homogeneous
Derivation Lie algebra
Isolated singularity
14B05
32S05
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Summary:We propose a new conjecture about the non-existence of negative weight derivations of the new moduli algebras of weighted homogeneous hypersurface singularities and verify this conjecture up to dimension three.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2020.07.023