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.

Słowa kluczowe

EN

motivic Igusa zeta series; Du Val singularities; stationary phase method

Kategorie tematyczne

• 14G10: Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture)
• 18F30: Grothendieck groups

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Numer: 1
• Strony: 143-179

Daty

wydano

2016-09-01

otrzymano

2016-04-14

zaakceptowano

2016-06-25

online

2016-09-23

Twórcy

autor

Hans Schoutens

• Department of Mathematics, City University of New York, 365 Fifth Avenue, New York, NY 10016,

Identyfikatory

DOI

10.1515/amsil-2016-0010