---
date: 2022-02-23 18:45
modification date: Thursday 17th March 2022 21:20:02
title: semistable
aliases: ["stable", "semistable", "semistable families", "slope"]

---


---

- Tags 
	- #arithmetic-geometry 
- Refs:
	- #todo/add-references
- Links:
	- [Log geometry](Unsorted/Log%20geometry.md)

---

# semistable

![](attachments/Pasted%20image%2020221118213608.png)

#todo explain [[etale sheaf]] and [Log geometry](Unsorted/Log%20geometry.md)

![](attachments/Pasted%20image%2020220317212008.png)


# Semistable points

Used in [GIT quotients](GIT%20quotients):
![](attachments/Pasted%20image%2020220523001348.png)

# Degree and slope of bundles

#homotopy/bundles 

![](attachments/Pasted%20image%2020210626211050.png)


# Examples

From Daniel's paper:
![](attachments/Pasted%20image%2020220526003601.png)