p-adic Arakelov theory Local theory, by Amnon Besser
We develop the local part of a p-adic version of Arakelov theory on
curves. This includes the construction of the (almost) canonical Green
function and of the Faltings volume on the determinant of
cohomology. There is also a comparison with the Coleman-Gross p-adic
height and with the Green functions developed by Colmez.
Amnon Besser <firstname.lastname@example.org>