= Lattice in toric geometry
{title2=$N\cong\mathbb Z^n,\quad M=\operatorname{Hom}(N,\mathbb Z)$}
= Toric lattice
{synonym}
A toric lattice is a finite-rank <free abelian group> $N$, embedded as a discrete full-rank subgroup of $N_{\mathbb R}=N\otimes_{\mathbb Z}\mathbb R$. Its dual is $M=\operatorname{Hom}(N,\mathbb Z)$. This lattice of integral vectors is distinct from an order-theoretic <lattice>. It supplies the integral structure for <toric cones> and their dual monomials.
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