The Faltings height and normed modules
Posted by martin on Saturday, 31 December 2011 at 15:31
In this post I shall give the definition of the Faltings height of an abelian variety over any number field.
Last time we did this over 
only, and we used two properties of : the integers are a PID and there is only one archimedean place.
To do things more generally, we will introduce the technology of normed modules and their degrees.