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arXiv · 2606.29886

A Criteria of Weighted Homogeneity via Logarithmic Vector Fields

Jihao Liu·Xiping Zhang
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Abstract

Recently in [6] the authors proposed a conjecture that the homogeneity of an isolated hypersurface germ can be detected by the existence of non-degenerate holomorphic logarithmic vector fields. In this paper we prove this conjecture affirmatively.

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Jihao Liu, Xiping Zhang. 2026-06-29. A Criteria of Weighted Homogeneity via Logarithmic Vector Fields. https://arxiv.org/abs/2606.29886

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