---
date: 2022-03-24 22:42
modification date: Thursday 24th March 2022 22:42:21
title: perverse sheaf
aliases: [perverse sheaves, perverse sheaf, perverse, perverse t-structure, Whitney stratification, constructible]

---

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


---

- Tags 
	- #AG #AG/sheaves/cohomology 
- Refs:
	- [Beilinson, Bernstein, Deligne - Faisceaux pervers](attachments/Beilinson,%20Bernstein,%20Deligne%20-%20Faisceaux%20pervers%201.pdf) #resources/notes 
	- <https://www.math.ias.edu/~goresky/pdf/all.pdf> #resources/notes 
	- <http://perso.ens-lyon.fr/sophie.morel/faisceaux_pervers.pdf#page=1> #resources/summaries 
- Links:
	- [Riemann-Hilbert correspondence](Unsorted/Riemann-Hilbert%20correspondence.md)
	- [microlocal analysis](microlocal%20analysis)
	- [D modules](Unsorted/D%20modules.md)
	- [intersection homology](intersection%20homology)
	- [constructible complexes](Unsorted/constructible%20sheaf.md)
	- [triangulated category](Unsorted/triangulated%20category.md)
	- [heart of a t-structure](heart%20of%20a%20t-structure)
	- [Artin vanishing](Artin%20vanishing)
	- [IC](IC.md)
	- [Verdier duality](Verdier%20duality)
	- [Riemann-Hilbert correspondence](Unsorted/Riemann-Hilbert%20correspondence.md)

---

# perverse sheaf

![](attachments/2023-03-12perverse.png)

![](attachments/2023-02-16-perverse1.png)
![](attachments/2023-02-16perverse2.png)s

![](attachments/Pasted%20image%2020220514193344.png)

![](attachments/Pasted%20image%2020220429213522.png)

![](attachments/Pasted%20image%2020220422221048.png)
![](attachments/Pasted%20image%2020220422221108.png)

![](attachments/Pasted%20image%2020220422221302.png)
![](attachments/Pasted%20image%2020220422221357.png)
![](attachments/Pasted%20image%2020220422221455.png)


# Examples

![](attachments/Pasted%20image%2020220422221442.png)
![](attachments/Pasted%20image%2020220429213602.png)

# Constructible sheaves

![](attachments/2023-03-12whitney.png)

![](attachments/2023-03-12onstruct.png)
![](attachments/2023-03-12cohomcon.png)