论文标题
纤维中动机功能，非毫无用说和整合性的评估
Evaluation of motivic functions, non-nullity, and integrability in fibers
论文作者
论文摘要
我们从Cluckers-Loeser框架的动机（指数）函数的一个点定义了评估的操作，并证明当它们在每个点的评估相同时，只有当它们的评估相同时，就表明了两个这样的动机函数是抽象的。我们类似地，分别在每个纤维中的可集成性方面表征了相对的集成性。这些结果简化了上述动机整合及其用法的框架。
We define an operation of evaluation at a point for motivic constructible (exponential) functions from the Cluckers-Loeser framework of motivic integration and show that two such motivic functions are abstractly equal if and only if their evaluations at each point are the same. We similarly characterise relative integrability in terms of integrability in each fiber separately. These results simplify the mentioned frameworks of motivic integration and their usage.
