---
date: 2022-04-24 14:10
modification date: Sunday 24th April 2022 14:10:54
title: "proper base change"
aliases: [proper base change, smooth base change]
---

Last modified date: <%+ tp.file.last_modified_date() %>

---
- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [six functor formalism](Unsorted/six%20functor%20formalism.md)
	- [[proper morphism]]

---

# proper base change

![](attachments/Pasted%20image%2020220516191656.png)
![](attachments/Pasted%20image%2020220516191847.png)


![](attachments/Pasted%20image%2020220424141100.png)

# Smooth base change

![](attachments/Pasted%20image%2020220424141748.png)