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Nonexistence of
negative weight derivations of the local $k$-th Hessian
algebras associated to isolated singularities
Guorui Ma, Stephen S.-T. Yau and Huaiqing Zuo |
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Vol. 323 (2023), No. 1, 129–172
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DOI: 10.2140/pjm.2023.323.129
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Abstract |
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A new conjecture about the nonexistence of negative weight derivations of the -th Hessian algebras for weighted homogeneous isolated hypersurface singularities is proposed. We verify this conjecture up to dimension three. |
Keywords
derivations, Hessian algebra, isolated singularity,
weighted homogeneous
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Mathematical Subject Classification
Primary: 14B05, 32S05
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Milestones
Received: 9 June 2022
Revised: 13 September 2022
Accepted: 9 October 2022
Published: 29 May 2023
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Authors |
| Guorui Ma | |
| Yau Mathematical Sciences
Center Tsinghua University Beijing China |
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| Stephen S.-T. Yau | |
| Department of Mathematical
Sciences Tsinghua University Beijing China |
Yanqi Lake Beijing Institute of
Mathematical Sciences and Applications Huairou China |
| Huaiqing Zuo | |
| Department of Mathematical
Sciences Tsinghua University Beijing China |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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