The Motivic Igusa Zeta Series of Some Hypersurfaces Non-Degenerated with Respect to their Newton Polyhedron

Hans Schoutens. "The Motivic Igusa Zeta Series of Some Hypersurfaces Non-Degenerated with Respect to their Newton Polyhedron." Annales Mathematicae Silesianae 30.1 (2016): 143-179. <http://eudml.org/doc/286748>.

@article{HansSchoutens2016,
abstract = {We describe some algorithms, without using resolution of singularities, that establish the rationality of the motivic Igusa zeta series of certain hypersurfaces that are non-degenerated with respect to their Newton polyhedron. This includes, in any characteristic, the motivic rationality for polydiagonal hypersurfaces, vertex singularities, binomial hypersurfaces, and Du Val singularities.},
author = {Hans Schoutens},
journal = {Annales Mathematicae Silesianae},
keywords = {motivic Igusa zeta series; Du Val singularities; stationary phase method},
language = {eng},
number = {1},
pages = {143-179},
title = {The Motivic Igusa Zeta Series of Some Hypersurfaces Non-Degenerated with Respect to their Newton Polyhedron},
url = {http://eudml.org/doc/286748},
volume = {30},
year = {2016},
}

TY - JOUR
AU - Hans Schoutens
TI - The Motivic Igusa Zeta Series of Some Hypersurfaces Non-Degenerated with Respect to their Newton Polyhedron
JO - Annales Mathematicae Silesianae
PY - 2016
VL - 30
IS - 1
SP - 143
EP - 179
AB - We describe some algorithms, without using resolution of singularities, that establish the rationality of the motivic Igusa zeta series of certain hypersurfaces that are non-degenerated with respect to their Newton polyhedron. This includes, in any characteristic, the motivic rationality for polydiagonal hypersurfaces, vertex singularities, binomial hypersurfaces, and Du Val singularities.
LA - eng
KW - motivic Igusa zeta series; Du Val singularities; stationary phase method
UR - http://eudml.org/doc/286748
ER -