Conjecture 2.2 (cf. also [ KT02 ] ) . [03EX]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Conjecture 2.2 (cf. also [KT02]).

There is a unique bi-polyhedral Kähler affine structure on ${\Sigma\backslash D}$ of type $(\lambda,\nu)$ such that the metric is Monge-Ampère: $\det g_{ij}=(\operatorname{Vol}\partial\Delta^{\vee}_{\lambda})^{-1}\cdot\operatorname{Vol}\partial{\Delta_{\nu}}$ .