---
date: 2022-02-23 18:45
modification date: Tuesday 15th March 2022 10:40:28
title: sheaf cohomology
aliases: [sheaf cohomology, flasque sheaf, flasque, flabby sheaf, flabby, Godemont]

---


---

- Tags 
	- #todo/untagged
- Refs:
	- <https://www.seas.upenn.edu/~jean/sheaves-cohomology.pdf>
	- <https://math.mit.edu/~notzeb/sheaf-coh.pdf>
	- [Homological algebra and sheaves](https://users.math.msu.edu/users/ruiterj2/Math/Documents/Fall%202019/Sheaf%20cohomology/Sheaf-cohomology-main.pdf)
- Links:
	- Theorems in sheaf cohomology:
		- [Riemann-Roch](Riemann-Roch.md)
		- [Serre duality](Serre%20duality.md)
		- [Kodaira vanishing](Kodaira vanishing.md)
		- [splitting principle](splitting principle.md)

---

# sheaf cohomology

![](attachments/Pasted%20image%2020220315104031.png)

# Flasque sheaf

![](attachments/Pasted%20image%2020220315142712.png)

# flabby sheaf

![](attachments/Pasted%20image%2020220221005401.png)
![](attachments/Pasted%20image%2020220221005444.png)