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arXiv · 0909.5429

Weighted Homogeneous Polynomials with Isomorphic Milnor Algebras

Imran Ahmed
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Abstract

We recall first some basic facts on weighted homogeneous functions and filtrations in the ring $A$ of formal power series. We introduce next their analogues for weighted homogeneous diffeomorphisms and vector fields. We show that the Milnor algebra is a complete invariant for the classification of weighted homogeneous polynomials with respect to right-equivalence, i.e. change of coordinates in the source and target by diffeomorphism.

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Imran Ahmed. 2009-09-29. Weighted Homogeneous Polynomials with Isomorphic Milnor Algebras. https://arxiv.org/abs/0909.5429

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