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

Raul Epure

doi:10.5802/crmath.324

Complex analysis and geometry

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

Raul Epure ¹

¹ Gottlieb-Daimler-Straße 48, 67663 Kaiserslautern, Germany

Comptes Rendus. Mathématique, Volume 360 (2022), pp. 539-547.

Abstract

Let $(V, 0) \subset (ℂ^{n}, 0)$ 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 $L (V) .$

Received: 2021-10-11
Revised: 2021-12-26
Accepted: 2022-01-09
Published online: 2022-05-23

DOI: 10.5802/crmath.324

Classification: 32S25

Author's affiliations:

Raul Epure ¹

¹ Gottlieb-Daimler-Straße 48, 67663 Kaiserslautern, Germany

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Raul Epure},
     title = {On the {Thom{\textendash}Sebastiani} {Property} of {Quasi-Homogeneous} {Isolated} {Hypersurface} {Singularities}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {539--547},
     publisher = {Acad\'emie des sciences, Paris},
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     year = {2022},
     doi = {10.5802/crmath.324},
     language = {en},
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Raul Epure. On the Thom–Sebastiani Property of Quasi-Homogeneous Isolated Hypersurface Singularities. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 539-547. doi : 10.5802/crmath.324. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.324/

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