纤维中运动功能、非零性和可积性的评价
Evaluation of motivic functions, non-nullity, and integrability in fibers
摘要：
我们定义了一个操作的评价在一个点上的动机可构造（指数）的功能，从Cluckers-Loeser框架的动机整合，并表明，两个这样的动机功能是抽象的平等，当且仅当他们的评价在每个点是相同的。同样，我们分别用每个纤维的可积性来表示相对可积性。这些结果简化了上述动机整合的框架及其使用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
