Arakelov geometry of toric bundles: Okounkov bodies and BKK
Arakelov geometry of toric bundles: Okounkov bodies and BKK
This article introduces the study of toric bundles and the morphisms between them from the perspective of adelic fibre bundles, as introduced by Chambert-Loir and Tschinkel. We study the Okounkov bodies and Boucksom-Chen transforms of suitable adelic line bundles on toric bundles. Finally, we prove an arithmetic analogue of a …