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created: 2022-04-05T23:42
updated: 2024-01-25T21:11
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- Tags 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [birational geometry](Unsorted/birational%20geometry.md)
	- [Hodge theory MOC](Unsorted/Hodge%20theory%20MOC.md)
	- [log differential forms](log%20differential%20forms.md)
	- [Cohen-Macaulay](Unsorted/Cohen-Macaulay.md)

---

# Kodaira vanishing

![](attachments/Pasted%20image%2020220528012545.png)

![](attachments/Pasted%20image%2020220401100038.png)
![](attachments/Pasted%20image%2020220401100112.png)
![](attachments/Pasted%20image%2020220323171654.png)

![](attachments/Pasted%20image%2020210627222240.png)

A generalization:

![](attachments/Pasted%20image%2020210627222345.png)

![](attachments/Pasted%20image%2020220515002247.png)

# Nakano vanishing

![](attachments/Pasted%20image%2020220401100157.png)