Integration over spaces of non-parametrized arcs and motivic versions of the monodromy zeta function
Algebraic Geometry
2007-05-23 v1
Abstract
We elaborate notions of integration over the space of arcs factorized by the natural -action and over the space of non-parametrized arcs (branches). There are offered two motivic versions of the zeta function of the classical monodromy transformation of a germ of an analytic function on a smooth space. We indicate a direct formula which connects the naive motivic zeta function of J. Denef and F. Loeser with the classical monodromy zeta function.
Cite
@article{arxiv.math/0407201,
title = {Integration over spaces of non-parametrized arcs and motivic versions of the monodromy zeta function},
author = {Sabir M. Gusein-Zade and Ignacio Luengo and Alejandro Melle-Hernandez},
journal= {arXiv preprint arXiv:math/0407201},
year = {2007}
}