标题： 与分次理想族对相关的复兴数和凸体 显示英文标题

标题： Resurgence number and convex body associated to pairs of graded families of ideals

摘要： 我们讨论如何从相关凸体的组合数据中理解一个分次理想族对的渐近重现数。 当族由单项式理想组成时，所考虑的凸体是这些族的牛顿-奥库诺夫体。 当第二族中的理想是经典不变理想时，例如行列式理想或反对称行列式理想，这些凸体是从相关的Rees包构造而来的。 显示英文摘要

摘要： We discuss how to understand the asymptotic resurgence number of a pair of graded families of ideals from combinatorial data of their associated convex bodies. When the families consist of monomial ideals, the convex bodies being considered are the Newton-Okounkov bodies of the families. When ideals in the second family are classical invariant ideals, for instance, determinantal ideals or ideals of Pfaffians, these convex bodies are constructed from the associated Rees packages.