Differentiability of non-archimedean volumes and non-archimedean Monge-Ampère equations (with an appendix by Robert Lazarsfeld)

José Ignacio Burgos Gil, Walter Gubler, Philipp Jell +2

Let $X$ be a normal projective variety over a complete discretely valued field and $L$ a line bundle on $X$. We denote by $X^{\text{an}}$ the analytification of $X$ in the sense of…