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Quasi-ordinary surface germs from the topological viewpoint

Françoise Michel, Claude Weber

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.

Quasi-ordinary surface germs from the topological viewpoint

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.

Paper Structure

This paper contains 5 sections, 6 theorems, 13 equations.

Table of Contents

  1. Introduction
  2. Lens spaces
  3. Finite morphisms with smooth discriminant
  4. Characterization of coverings with have the Hopf link as ramification locus
  5. Finite morphism with normal-crossing discriminant

Key Result

Lemma 2.0.5

Let suppose that $1<n$ and $1<n'$. Two lens spaces $L(n,q)$ and $L(n',q')$ are orientation preserving homeomorphic if and only if $n'=n$ and $q'=q$ or $q'=q^{-1} modulo \ n$.

Theorems & Definitions (18)

  • Definition 1.0.1
  • Definition 1.0.2
  • Definition 1.0.3
  • Definition 2.0.1
  • Remark 2.0.2
  • Definition 2.0.3
  • Remark 2.0.4
  • Lemma 2.0.5
  • Lemma 2.0.6
  • Example 2.0.7
  • ...and 8 more