Go to content
UR Home

A comparison of the real and non-archimedean Monge–Ampère operator

URN to cite this document:
DOI to cite this document:
Vilsmeier, Christian
License: Creative Commons Attribution 3.0
PDF - Published Version
Date of publication of this fulltext: 09 Feb 2021 10:59


Let 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 Xan 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.

Owner only: item control page
  1. Homepage UR

University Library

Publication Server


Publishing: oa@ur.de
0941 943 -4239 or -69394

Dissertations: dissertationen@ur.de
0941 943 -3904

Research data: daten@ur.de
0941 943 -5707

Contact persons