Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poles of the topological zeta function for plane curves and Newton
  polyhedra   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.

31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph