Bounded integral and motivic Milnor fiber

2019/10/25 by Arthur Forey, Forey, Arthur, Yimu Yin +1
Mathematics · #03C60 #12J25 #14B05 #14E18 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.1910.12764

openalex publication_date 2019/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a new motivic integration morphism, the so-call bounded integral, that interpolates both the integration morphisms with and without volume forms of Hrushovski and Kazhdan. This is done within the framework of model theory of algebraically closed valued fields of equicharacteristic zero. As an application, we recover and extend some results of Hrushovski and Loeser about the motivic Milnor fiber.

Citations

• Quantifier elimination and minimality conditions in algebraically closed valued fields

Cited by

• Motivic integration and Milnor fiber

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