On the motivic measure on the space of functions

Details On the motivic measure on the space of functions On the motivic measure on the space of functions

2007-01-13

arxiv.org/abs/math/0701374v1

Mathematics

Algebraic Geometry

13 pages

Scientific paper

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.

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