The Motivic Igusa Zeta Series Of Some Hypersurfaces Non-Degenerated With Respect To Their Newton Polyhedron

• Autorzy: Hans Schoutens
• Języki publikacji: EN

Abstrakty

EN

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.(original abstract)

Słowa kluczowe

EN

Mathematics; Algebra; Mathematical functions

PL

Matematyka; Algebra; Funkcje matematyczne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Strony: 143--179

Twórcy

autor

Hans Schoutens

• University of New York, USA

Bibliografia

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Identyfikatory

DOI

10.1515/amsil-2016-0010