---
date: 2022-04-05 23:42
modification date: Sunday 10th April 2022 18:41:36
title: ADE singularities
aliases:
  - ADE singularity
  - cone singularity
  - quotient singularity
  - du Val singularity
created: 2023-08-05T20:56
updated: 2024-01-07T16:57
refs: 
links: "[[smooth points|singular]]"
---

---
- Refs:
	- <https://gr-tes.epfl.ch/~testerma/doc/projets/HemelsoetPDM.pdf#page=1>
- Links:
	- [singular](Unsorted/smooth%20points.md)
	- [McKay correspondence](Unsorted/McKay%20correspondence.md)

---

# ADE singularities

Occur as rational double point singularities for algebraic curves...?

![](attachments/Pasted%20image%2020220211120128.png)
![](attachments/Pasted%20image%2020220211120205.png)

![](attachments/Pasted%20image%2020220410221035.png)
![](2023-08-05.png)
![](attachments/Pasted%20image%2020220411235752.png)

# Quotient singularities

![](attachments/Pasted%20image%2020220411230136.png)
![](attachments/Pasted%20image%2020220411230203.png)
![](attachments/Pasted%20image%2020220411230301.png)

# Examples

![](attachments/Pasted%20image%2020220424201037.png)

Relation to [K-theory](Unsorted/K-theory.md):
![](attachments/Pasted%20image%2020220424201105.png)

# Examples

![](attachments/Pasted%20image%2020220806160753.png)