---
date: 2022-02-23 18:45
modification date: Saturday 19th March 2022 20:43:35
title: Selmer group
aliases: [Selmer groups]

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


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- Tags 
	- #AG/elliptic-curves #NT 
- Refs:
	- #todo/add-references
- Links:
	- [torsor](Unsorted/torsor.md)
	- [descent](Unsorted/descent.md)
	- [Galois cohomology](Galois%20cohomology)
	- [Sha](Sha)

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# Selmer group

![Pasted image 20211106014305.png](Pasted%20image%2020211106014305.png)

# Definitions

![](attachments/Pasted%20image%2020220410154621.png)
![](attachments/Pasted%20image%2020220410154644.png)

![](attachments/Pasted%20image%2020220416203829.png)

# In p-adic settings

See [p-adic Hodge theory](Unsorted/p-adic%20Hodge%20theory.md).
![](attachments/Pasted%20image%2020220504003231.png)