---
date: 2021-10-29 13:52
modification date: Friday 29th October 2021 13:52:00
title: D modules
aliases: [D modules, "D-modules", D module, "D-module", "holonomic D module"]
---

---

- Tags 
	- #todo #todo/stub 
- Refs:
	- <https://people.math.harvard.edu/~mpopa/notes/DMBG-posted.pdf>
- Links
	- [quantization](Unsorted/quantization.md)
	- [perverse sheaf](Unsorted/perverse%20sheaf.md)
	- [[twisted differential operator]]

---

# D modules

![](attachments/2023-03-12dmod.png)
![](attachments/2023-03-12example.png)
![](attachments/2023-03-12tx.png)

Relation to [integrable connections](Unsorted/Riemannian%20Geometry.md):
![](attachments/2023-03-12connection.png)

 
![](attachments/2023-03-05dmos.png)

In terms of [QCoh](Unsorted/quasicoherent%20sheaf.md) and [flat connections](Unsorted/flat%20connection.md):

![](attachments/Pasted%20image%2020220228092430.png)

![](attachments/Pasted%20image%2020220429211526.png)

![](attachments/Pasted%20image%2020220429211919.png)
![](attachments/Pasted%20image%2020220914132326.png)

# Holonomic 

![](attachments/Pasted%20image%2020220429211726.png)

See [perverse sheaf](Unsorted/perverse%20sheaf.md):
![](attachments/Pasted%20image%2020220514193234.png)

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

# Regularity

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

# Cohomology

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