Various Derivation Lie Algebras of Isolated Singularities

Stephen S. -T. Yau () and Huaiqing Zuo ()
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Stephen S. -T. Yau: Beijing Institute of Mathematical Sciences and Applications (BIMSA)
Huaiqing Zuo: Tsinghua University, Department of Mathematical Sciences

Chapter Chapter 8 in Handbook of Geometry and Topology of Singularities VII, 2025, pp 435-474 from Springer

Abstract: Abstract In our previous works, we introduced many different derivation Lie algebras to isolated singularities. We investigated their relations in the case of weighted homogeneous singularities. Moreover, explicit formulas of the dimensions of these of Lie algebras were given for fewnomial singularities. Several conjectures were proposed and verified partially. In this survey paper, we are going to summarize the definitions and results of the theory of derivation Lie algebras of isolated singularities obtained in the past decade.

Date: 2025
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DOI: 10.1007/978-3-031-68711-2_8

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