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Keywords:
Milnor algebra; right-equivalence; homogeneous polynomial
Milnor algebra; right-equivalence; homogeneous polynomial
Summary:
We recall first Mather's Lemma providing effective necessary and sufficient conditions for a connected submanifold to be contained in an orbit. We show that two homogeneous polynomials having isomorphic Milnor algebras are right-equivalent.
References:
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[3] Mather, J. N.: Stability of $C^{\infty}$-mappings. IV: Classification of stable germs by $\Bbb R$-algebras. Publ. Math., Inst. Hautes Étud. Sci. 37 (1969), 223-248. DOI 10.1007/BF02684889 | MR 0275460 | Zbl 0202.55102
[4] Mather, J. N., Yau, S. S. T.: Classification of isolated hypersurface singularities by their moduli algebras. Invent. Math. 69 (1982), 243-251. DOI 10.1007/BF01399504 | MR 0674404 | Zbl 0499.32008
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