On the motivic measure on the space of functions
Algebraic Geometry
2012-08-22 v1
Abstract
Motivic measure on the space of functions was introduced by Campillo, Delgado and Gusein-Zade as an analog of the motivic measure on the space of arcs . In this paper we prove that the measure on the space of functions can be related to the motivic measure on the space of arcs by a factor, which can be defined explicitly in geometric terms. This provides a possibility to rewrite motivic integrals over the space of functions as integrals over the union of all symmetric powers of the space of arcs.
Cite
@article{arxiv.math/0701374,
title = {On the motivic measure on the space of functions},
author = {E. Gorsky},
journal= {arXiv preprint arXiv:math/0701374},
year = {2012}
}
Comments
13 pages