The Motivic Igusa Zeta Series of Some Hypersurfaces Non-Degenerated with Respect to their Newton Polyhedron
| 23 wrz 2016
O artykule
Data publikacji: 23 wrz 2016
Zakres stron: 143 - 179
Otrzymano: 14 kwi 2016
Przyjęty: 25 cze 2016
DOI: https://doi.org/10.1515/amsil-2016-0010
Słowa kluczowe
© 2016 Hans Schoutens, published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.