TITLE: Learning Arakelov geometry
QUESTION [14 upvotes]: I have a complex analytic background (Griffiths and Harris, Huybrechts, Demailley etc). Also, I understand some PDE. I want to learn Arakelov geometry (atleast till the point I can "apply" computations of Bott-Chern forms and Analytic torsion to producing theorems of interest in Arakelov geometry). I know almost nothing of schemes or of number theory. I don't how much of these is needed to learn this stuff. I'd be grateful if any good references/suggestions are pointed out.

REPLY [2 votes]: I second the suggestion of the book "Lectures on Arakelov Geometry" by Soulé, Abramovich, Burnol and Kramer.
There is this nice text by Demailly which motivates the treatment of intersection theory on the infinite fibers and probably suits you with your background.
With this in mind the analytic part of the above book should be ok to read.