---
date: 2022-03-18 21:01
modification date: Friday 18th March 2022 21:01:26
title: Faltings theorem
aliases: [Faltings theorem, Mordell conjecture, Shaferevich conjecture]

---


---

- Tags 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [Hermite-Minkowski](Hermite-Minkowski.md)

---

# Mordell conjecture

![](attachments/Pasted%20image%2020220502190428.png)

# Faltings theorem

![](attachments/Pasted%20image%2020220502182705.png)


![](attachments/Pasted%20image%2020220502100942.png)

More details on the steps of the proof: <http://www.math.columbia.edu/~calebji/Faltings_Lawrence_Venkatesh.pdf#page=7>

# Faltings finiteness

![](attachments/Pasted%20image%2020220502183201.png)



# Proof

![](attachments/Pasted%20image%2020220504003123.png)
![](attachments/Pasted%20image%2020220504003144.png)