Work

Non-existence of Negative Weight Derivations of the Moduli Algebras of Isolated Weighted Homogeneous Hypersurface Singularities

Year: 2026

Type: preprint

Abstract: Mather and Yau proved that the analytic isomorphism class of an isolated complex hypersurface singularity is determined by its dimension and its moduli algebra. Yau's conjecture asserts that the moduli algebra of an isolated weighted homogeneous hypersurface singularity over $\C$ has no nonzero derivation of negative degree. We prove this conjecture.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.25177

Author: Ma, Guorui

Institution: Shanghai Institute for Mathematics and Interdisciplinary Sciences

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223006837

Cites: 8

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Related to: 10