Abstract
AbstractLet X be a proper algebraic variety over a non-archimedean, non-trivially valued field. We show that the non-archimedean Monge–Ampère measure of a metric arising from a convex function on an open face of some skeleton of $$X^{an }$$
X
an
is equal to the real Monge–Ampère measure of that function up to multiplication by a constant. As a consequence we obtain a regularity result for solutions of the non-archimedean Monge–Ampère problem on curves.
Publisher
Springer Science and Business Media LLC
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