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math.AG2020
Arithmetic over trivially valued field and its applications
Wenbin Luo
By some result on the study of arithemtic over trivially valued field, we find its applications to Arakelov geometry over adelic curves. We prove a partial result of the continuity…
math.AG2020
The continuity of -volume functions over adelic curves
Wenbin Luo
In the setting of Arakelov geometry over adelic curves, we introduce the -volume function and show some general properties. This article is dedicated to talk about the continuit…