1. Introduction  
2. Canonical Heights on Abelian Varieties  
3. Geometric Bogomolov Conjecture  
4. Proof of Zhang’s Theorem  
5. Non-Archimedean Geometry  
6. Proof of Gubler’s Theorem  
7. Structure of Canonical Measures  
8. Reduction to the Nowhere Degenerate Case  
9. Canonical Height of Closed Subvarieties  
11. Proof of the Conjecture for Curves  
12. Manin–Mumford Conjecture in Positive Characteristic