This article is cited in 3 papers

Classification of $\mathbb{Z}_3$-Equivariant Simple Function Germs

E. A. Astashov

Lomonosov Moscow State University

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 $\mathbb{Z}_3$-actions. Our main classification methods generalize those used for the classification of simple germs in the nonequivariant case.

Keywords: $G$-space, classification of singularities, equivariant mapping, simple germ.

UDC: 512.761.5

Received: 19.06.2017

DOI: 10.4213/mzm11725

 English version: Mathematical Notes, 2019, 105:2, 161–172

Bibliographic databases:

• 
• 
• 
•