---
created: 2022-08-02T13:16
updated: 2023-04-14T17:01
title: "tangent complex"
aliases: [tangent complex]
---


---

- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

---

# tangent complex

![](2023-04-14-4.png)
![](2023-04-14-5.png)
![](2023-04-14-6.png)



## Examples

![](2023-04-14-9.png)

### Quotient stacks

![](attachments/Pasted%20image%2020220802131630.png)
![](attachments/Pasted%20image%2020220802131641.png)

### $\Bung$

![](attachments/Pasted%20image%2020220802131952.png)
![](attachments/Pasted%20image%2020220802132002.png)

See [formally smooth](Unsorted/formally%20smooth.md).
Necessity of [gerbes](Unsorted/gerbe.md):

![](attachments/Pasted%20image%2020220802132126.png)
![](attachments/Pasted%20image%2020220802132139.png)
![](attachments/Pasted%20image%2020220802132219.png)

# Examples

![](attachments/Pasted%20image%2020220802132235.png)
![](attachments/Pasted%20image%2020220802132251.png)