We focus on various dynamical invariants associated to monomial correspondences on toric varieties, using algebraic and arithmetic geometry. We find a formula for their dynamical degrees, relate the exponential growth of the degree sequences to a strict log-concavity condition on the dynamical degrees and compute the asymptotic rate of the growth of heights of points of such correspondences.

中文翻译：

---

单项式对应的动态不变量

我们使用代数和算术几何，专注于与复曲面变体上的单项式对应相关的各种动态不变量。我们找到了它们的动态度数的公式，将度数序列的指数增长与动态度数的严格对数凹条件联系起来，并计算了这种对应点高度增长的渐近率。