CR Singularities and Generalizations of Moser's Theorem I

TL;DR

This paper explores extensions of Moser's theorem by leveraging Artin's Approximation Theorem, aiming to develop new analogues in the context of CR singularities.

Contribution

It introduces novel generalizations of Moser's theorem for CR singularities using Artin's Approximation Theorem.

Findings

Established new analogues of Moser's theorem

Applied Artin's Approximation Theorem to CR singularities

Extended the theoretical framework of CR geometry

Abstract

There are proven few analogues of the Theorem of Moser using The Approximation Theorem of Artin.