Let f C n C be any polynomial function By using global polar methods we introduce models for the bers of f and we study the monodromy at atypical values of f including the value innity We construct a geometric monodromy with controlled behavior and dene global relative monodromy with respect to a general linear form We prove localization results for the relative monodromy and derive a zetafunction formula for the monodromy around an atypical value We compute the relative zeta function in several cases and emphasize the dierences to the classical local situatio
Dedicated to Vladimir Igorevich Arnol’d on the occasion of his 65th anniversary Abstract. We study t...
The monodromy of torus bundles associated to completely integrable systems can be computed using geo...
The ‘monodromy conjecture’ for a hypersurface singularity f predicts that a pole of its topological ...
Let f C n C be any polynomial function By using global polar methods we introduce models for the b...
AbstractA polynomial function defines a locally trivial fibre bundle over the complement to a finite...
In this work we give a formula for the local Denef–Loeser zeta function of a superisolated singulari...
We prove the monodromy conjecture for the topological zeta function for all nondegenerate surface si...
The geometric local monodromy of a plane curve singularity is a diffeomorphism of a compact oriented...
AbstractFor a complex polynomial or analytic function f, there is a strong correspondence between po...
The main objects of this study are the poles of several local zeta functions: the Igusa, topological...
We study the poles of several local zeta functions: the Igusa, topological and motivic zeta function...
AbstractA polynomial function defines a locally trivial fibre bundle over the complement to a finite...
AbstractWe study the poles of several local zeta functions: the Igusa, topological and motivic zeta ...
The aim of the article is an extension of the Monodromy Conjecture of Denef and Loeser in dimension ...
AbstractLet f:C2→C be a polynomial function. It is well known that there exists a finite set A⊂C suc...
Dedicated to Vladimir Igorevich Arnol’d on the occasion of his 65th anniversary Abstract. We study t...
The monodromy of torus bundles associated to completely integrable systems can be computed using geo...
The ‘monodromy conjecture’ for a hypersurface singularity f predicts that a pole of its topological ...
Let f C n C be any polynomial function By using global polar methods we introduce models for the b...
AbstractA polynomial function defines a locally trivial fibre bundle over the complement to a finite...
In this work we give a formula for the local Denef–Loeser zeta function of a superisolated singulari...
We prove the monodromy conjecture for the topological zeta function for all nondegenerate surface si...
The geometric local monodromy of a plane curve singularity is a diffeomorphism of a compact oriented...
AbstractFor a complex polynomial or analytic function f, there is a strong correspondence between po...
The main objects of this study are the poles of several local zeta functions: the Igusa, topological...
We study the poles of several local zeta functions: the Igusa, topological and motivic zeta function...
AbstractA polynomial function defines a locally trivial fibre bundle over the complement to a finite...
AbstractWe study the poles of several local zeta functions: the Igusa, topological and motivic zeta ...
The aim of the article is an extension of the Monodromy Conjecture of Denef and Loeser in dimension ...
AbstractLet f:C2→C be a polynomial function. It is well known that there exists a finite set A⊂C suc...
Dedicated to Vladimir Igorevich Arnol’d on the occasion of his 65th anniversary Abstract. We study t...
The monodromy of torus bundles associated to completely integrable systems can be computed using geo...
The ‘monodromy conjecture’ for a hypersurface singularity f predicts that a pole of its topological ...