| Résume | Abstract: We give an overview of the Arakelov geometry of toric varieties developed by Burgos, Philippon and Sombra in 2014. In particular we review the classification of continuous toric metrics on toric line bundles both in the Archimedean and in the non-Archimedean case. Then we report on partial results generalizing this classification to toric vector bundles using the theory of buildings. This is work in progress with Burgos, Kaveh and Mallik.
|
