Abstract
The present paper deals with the classification of multivariate holomorphic function germs that are equivariant simple under representations of cyclic groups. We obtain a complete classification of such function germs of two and three variables for all possible nontrivial ℤ3-actions. Our main classification methods generalize those used for the classification of simple germs in the nonequivariant case.
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Russian Text © E. A. Astashov, 2019, published in Matematicheskie Zametki, 2019, Vol. 105, No. 2, pp. 163–178.
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Astashov, E.A. Classification of ℤ3-Equivariant Simple Function Germs. Math Notes 105, 161–172 (2019). https://doi.org/10.1134/S0001434619010206
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DOI: https://doi.org/10.1134/S0001434619010206