---
date: 2022-04-04 00:43
modification date: Monday 4th April 2022 00:43:14
title: "constructible sheaf"
aliases: [constructible sheaf, constructible sheaves, constructible complex,constructible complexes, constructible]

---

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


---

- Tags 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [Riemann-Hilbert correspondence](Unsorted/Riemann-Hilbert%20correspondence.md)
	- [l-adic sheaves](l-adic%20sheaves.md)
	- [[proper base change]]

---

# constructible sheaf

In terms of [perfect complexes](Unsorted/perfect%20complexes.md):
![](attachments/Pasted%20image%2020220516191509.png)

![](attachments/Pasted%20image%2020220425194245.png)

![](attachments/Pasted%20image%2020220423001908.png)


![](attachments/Pasted%20image%2020220404004317.png)
![](attachments/Pasted%20image%2020220422235636.png)
![](attachments/Pasted%20image%2020220404004337.png)

![](attachments/Pasted%20image%2020220405005901.png)

## Properties

![](attachments/Pasted%20image%2020220423002115.png)

# Constructible complexes

See [stratification](Unsorted/stratified.md).
![](attachments/Pasted%20image%2020220422220955.png)

An important example: [perverse sheaves](Unsorted/perverse%20sheaf.md).


# Examples

![](attachments/Pasted%20image%2020220423002002.png)
![](attachments/Pasted%20image%2020220425194214.png)

![](attachments/Pasted%20image%2020220516191537.png)