k-th singular locus moduli algebras of singularities and their derivation Lie algebras
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作者:
Ma, Guorui
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Ma, Guorui
[1
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Yau, Stephen S. -T.
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Yanqi Lake Beijing Inst Math Sci & Applicat, Huairou 101400, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Yau, Stephen S. -T.
[1
,2
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Zuo, Huaiqing
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Zuo, Huaiqing
[1
]
机构:
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Yanqi Lake Beijing Inst Math Sci & Applicat, Huairou 101400, Peoples R China
In this paper, we introduce a series of new invariants for singularities. A new conjecture about the non-existence of negative weight derivations of the new k-th singular locus moduli algebras for weighted homogeneous isolated hypersurface singularities is proposed. We verify this conjecture in some cases.Published under an exclusive license by AIP Publishing. https://doi.org/10.1063/5.0121485
机构:
Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R ChinaZhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China
Zhang, Xuemei
Zhou, Jianhua
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机构:
Southeast Univ, Dept Math, Nanjing, Peoples R ChinaZhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China
机构:
School of Mathematics and Statistics, Guizhou University of Finance and Economics, GuiyangSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang
Guo S.
Saha R.
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机构:
Department of Mathematics, Raiganj University, West Bengal, RaiganjSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang