Poles of the topological zeta function for plane curves and Newton polyhedra

Details Poles of the topological zeta function for plane curves and Newton polyhedra Poles of the topological zeta function for plane curves and Newton polyhedra

2008-05-13

arxiv.org/abs/0805.1878v1

Mathematics

Algebraic Geometry

Scientific paper

The local topological zeta function is a rational function associated to a germ of a complex holomorphic function. This function can be computed from an embedded resolution of singularities of the germ. For nondegenerate functions it is also possible to compute it from the Newton polyhedron. Both ways give rise to a set of candidate poles of the topological zeta function, containing all poles. For plane curves, Veys showed how to filter the actual poles out of the candidate poles induced by the resolution graph. In this note we show how to determine from the Newton polyhedron of a nondegenerate plane curve which candidate poles are actual poles.

Affiliated with

Also associated with

No associations

Rating

Poles of the topological zeta function for plane curves and Newton polyhedra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Poles of the topological zeta function for plane curves and Newton polyhedra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poles of the topological zeta function for plane curves and Newton polyhedra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472694