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math.AG2008
Poles of the topological zeta function for plane curves and Newton polyhedra
Ann Lemahieu, Lise Van Proeyen
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 sing…
math.AG2008
The holomorphy conjecture for ideals in dimension two
Ann Lemahieu, Lise Van Proeyen
The holomorphy conjecture predicts that the local Igusa zeta function associated to a hypersurface and a character is holomorphic on whenever the order of the characte…
math.AG2007★ 1 cited
Poles of the topological zeta function associated to an ideal in dimension two
Lise Van Proeyen, Willem Veys
To an ideal in one can associate a topological zeta function. This is an extension of the topological zeta function associated to one polynomial. But in this case…