---
date: 2022-03-23 19:02
modification date: Wednesday 23rd March 2022 19:02:22
title: Gorenstein
aliases: [Gorenstein]

---

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


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- Tags 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [normal](Unsorted/normalization.md) [Hypersurfaces](Hypersurfaces)
	- [complete intersection](Unsorted/local%20complete%20intersection.md)
	- [log discrepancy](log%20discrepancy.md)
	- [crepant](Unsorted/log%20discrepancy.md)

---

# Gorenstein

A particular class of [Cohen-Macaulay](Unsorted/Cohen-Macaulay.md) rings. Idea: Gorenstein is somewhere between Cohen-Macaulay and a [complete intersection](complete%20intersection).

![](attachments/Pasted%20image%2020220422225121.png)

![](attachments/Pasted%20image%2020220323190224.png)


![](attachments/Pasted%20image%2020220410154313.png)

# Results

![](attachments/Pasted%20image%2020220323190251.png)

![](attachments/Pasted%20image%2020220529012054.png)