2022Comptes Rendus MathématiqueOpen access

On the Thom–Sebastiani Property of Quasi-Homogeneous Isolated Hypersurface Singularities

Raul Epure

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Abstract

Let ( V , 0 ) ⊂ ( ℂ n , 0 ) be a quasi-homogeneous isolated hypersurface singularity. In this paper we prove under certain weight conditions a relation between the property of ( V , 0 ) being of Thom–Sebastiani type and the dimension of toral Lie subalgebras contained in the Yau algebra L ( V ) .

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Let ( V , 0 ) ⊂ ( ℂ n , 0 ) be a quasi-homogeneous isolated hypersurface singularity. In this paper we prove under certain weight conditions a relation between the property of ( V , 0 ) being of Thom–Sebastiani type and the dimension of toral Lie subalgebras contained in the Yau algebra L ( V ) .

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Available abstract

Let ( V , 0 ) ⊂ ( ℂ n , 0 ) be a quasi-homogeneous isolated hypersurface singularity. In this paper we prove under certain weight conditions a relation between the property of ( V , 0 ) being of Thom–Sebastiani type and the dimension of toral Lie subalgebras contained in the Yau algebra L ( V ) .

Key concepts: Hypersurface, Mathematics, Homogeneous, Isolated singularity, Singularity, Gravitational singularity, Property (philosophy), Dimension (graph theory)

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