Proposition 4.84 . [02RZ]

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

Proposition 4.84.

Let $\psi$ be an H-lattice function on $\Pi$ . Let $D_{\psi}$ be the associated $\mathbb{T}$ -Cartier divisor. Then the corresponding $\mathbb{T}$ -Weil divisor is given by

(4.85)

[D_{\psi}]=\sum_{v\in\Pi^{0}}-\operatorname{mult}(v)\psi(v)V(v)+\sum_{\tau\in\operatorname{rec}(\Pi)^{1}}-\operatorname{rec}(\psi)(v_{\tau}){\mathcal{V}}(\tau).