ScalingStacks

The main case of interest to us is when $X_{K}$ arises from a large complex structure limit. Then NA pluripotential theory provides a unique solution to

$$MA(\left\lVert\cdot\right\rVert_{CY})=(L^{n})d\mu_{0},$$

(16)

where $d\mu_{0}$ is the Lebesgue measure supported on the essential skeleton $Sk(X)\subset X_{K}^{an}$ (cf. section 3.1). We call $\left\lVert\cdot\right\rVert_{CY}$ the non-archimedean Calabi-Yau metric.