Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.
Let be a strongly nondegenerate strictly polystable formal scheme over with associated skeleton and a piecewise affine linear function on . Let be a -rational polytopal subdivision of suitable for as in Definition 2.10 and be the canonical formal scheme over associated to (see Construction 2.6). Then induces a canonical Cartier divisor on which is trivial on the generic fibre. If is admissible, then has the property that where is the formal metric on given by the formal model of (see Definition 3.1).