The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron
Journal Title: Annales Mathematicae Silesianae - Year 2016, Vol 30, Issue
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.
Authors and Affiliations
Hans Schoutens
Keywords
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- EP ID EP230428
- DOI 10.1515/amsil-2016-0010
- Views 136
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