# What is the significance of Faltings theorem

I am soon to become a graduate student and so I started a personal project; I want to understand Faltings's proof of the Mordell conjecture.

I want to get into arithmetic geometry (since I always liked both algebraic geometry and number theory) and I thought that understanding this proof might be a good start (mostly because the first time a read about it I was quiet surprised and intrigued).

I am already trying to formalize my knowledge on modern algebraic geometry studying from Hartshorne's "Algebraic Geometry" and Liu's "Algebraic Geometry and Arithmetic Curves".

So, my question is where should I continue after I "finish" formalizing my knowledge on modern algebraic geometry?

I know there's a book called "Arithmetic Geometry" edited by Silverman and Cornell which actually contains Faltings's proof, but I am not sure if the material covered in Liu's and Hartshorne's books is enough to dive into this more specialized content.

I'm also aware of Milne's notes on Abelian Varieties which contains Faltings's proof, but I haven't look at these in detail yet.

- Which artist sang the song Twisted
- Is homemade root beer alcoholic
- What jobs can get me to Japan
- How cold does it get in Canada
- How do you delete VLC history
- Are Vedas older than hinduism
- Is pi a fractal
- How do I start intermittent fasting
- Is matter the form of energy
- What are some cool mathematical explorations
- What is easiest yoga
- What is a server API
- Why do helium balloons land
- What is the electric universe theory
- How can empowering women develop a society
- Is Ciprofloxacin poisoning me
- How well do you know your country
- What does a Site Reliability Engineer do
- Is fish oil vegan