3 citations · 4 across the 9 of their papers we have counts for
10 papers
The holomorphy conjecture for nondegenerate surface singularities
Wouter Castryck, Denis Ibadula, Ann Lemahieu
The holomorphy conjecture states roughly that Igusa's zeta function associated to a hypersurface and a character is holomorphic on whenever the order of the character…
On the monodromy conjecture for non-degenerate hypersurfaces
Alexander Esterov, Ann Lemahieu, Kiyoshi Takeuchi
The monodromy conjecture is an umbrella term for several conjectured relationships between poles of zeta functions, monodromy eigenvalues and roots of Bernstein-Sato polynomials in…
The monodromy conjecture for plane meromorphic germs
Manuel González Villa, Ann Lemahieu
A notion of Milnor fibration for meromorphic functions and the corresponding concepts of monodromy and monodromy zeta function have been introduced in [GZLM1]. In this article we d…
Poincaré series for filtrations defined by discrete valuations with arbitrary center
Antonio Campillo, Ann Lemahieu
To study singularities on complex varieties we study Poincaré series of filtrations that are defined by discrete valuations on the local ring at the singularity. In all previous pa…
Poincare series of embedded filtrations
Ann Lemahieu
In this article we define a Poincare series on a subspace of a complex analytic germ, induced by a multi-index filtration on the ambient space. We compute this Poincare series for…
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…