Quasi-ordinary surface germs from the topological viewpoint

TL;DR

This paper provides a new, self-contained proof that normal quasi-ordinary surface germs are analytically equivalent to cyclic quotient surface germs, offering insights from a topological perspective.

Contribution

It introduces a novel proof demonstrating the topological equivalence of quasi-ordinary surface germs to cyclic quotient germs.

Findings

Normal quasi-ordinary surface germs are analytically isomorphic to cyclic quotient surface germs.

The proof is self-contained and emphasizes a topological approach.

Provides new understanding of the structure of quasi-ordinary surface germs.

Abstract

In the article we give a self-contained new proof that a normal quasi-ordinary surface germ is analytically isomorphic to a cyclic quotient surface germ.