Bounded integral and motivic Milnor fiber
Algebraic Geometry
2020-03-09 v2 Logic
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.
Cite
@article{arxiv.1910.12764,
title = {Bounded integral and motivic Milnor fiber},
author = {Arthur Forey and Yimu Yin},
journal= {arXiv preprint arXiv:1910.12764},
year = {2020}
}
Comments
typos corrected, added Fubini theorem in section 5. arXiv admin note: text overlap with arXiv:1808.07129, arXiv:1810.03561