AbstractIn this paper, we use the perversity and self-duality of the sheaf of vanishing cycles to obtain previously unknown bounds on the Betti numbers of the Milnor fibre of a central hyperplane arrangement in C3. Moreover, we obtain restrictions on the monodromy action on cohomology which yield number-theoretic constraints on the Betti numbers of the Milnor fibre
AbstractMotivated by the Milnor fiber of a central arrangement, we study the cohomology of a family ...
AbstractMotivated by the Milnor fiber of a central arrangement, we study the cohomology of a family ...
We give an explicit expression for the contact loci of hyperplane arrangements and show that their c...
AbstractIn this paper, we use the perversity and self-duality of the sheaf of vanishing cycles to ob...
We use covering space theory and homology with local coefficients to study the Milnor fiber of a hom...
In this new version some references are added for Thom-Sebastiani type results for the productof two...
Cette thèse étudie la fibre de Milnor d'un arrangement d'hyperplans complexe central, et l'opérateur...
This Ph.D.thesis studies the Milnor fiber of a central complex hyperplane arrangement, and the monod...
Cette thèse étudie la fibre de Milnor d'un arrangement d'hyperplans complexe central, et l'opérateur...
Consider an arrangement (Formula presented.) of homogeneous hyperplanes in (Formula presented.) with...
Abstract. If M is the complement of a hyperplane arrangement, and A = H ∗ (M, k) is the cohomology r...
The Monodromy Conjecture asserts that if c is a pole of the local topological zeta function of a hyp...
15 pages, final versionInternational audienceWe show a combinatorial formula for a lower bound of th...
Abstract. Let A be an arrangement of ane lines in C2; with complementM(A): The (co)homology of M(A)...
Consider an arrangement (Formula presented.) of homogeneous hyperplanes in (Formula presented.) with...
AbstractMotivated by the Milnor fiber of a central arrangement, we study the cohomology of a family ...
AbstractMotivated by the Milnor fiber of a central arrangement, we study the cohomology of a family ...
We give an explicit expression for the contact loci of hyperplane arrangements and show that their c...
AbstractIn this paper, we use the perversity and self-duality of the sheaf of vanishing cycles to ob...
We use covering space theory and homology with local coefficients to study the Milnor fiber of a hom...
In this new version some references are added for Thom-Sebastiani type results for the productof two...
Cette thèse étudie la fibre de Milnor d'un arrangement d'hyperplans complexe central, et l'opérateur...
This Ph.D.thesis studies the Milnor fiber of a central complex hyperplane arrangement, and the monod...
Cette thèse étudie la fibre de Milnor d'un arrangement d'hyperplans complexe central, et l'opérateur...
Consider an arrangement (Formula presented.) of homogeneous hyperplanes in (Formula presented.) with...
Abstract. If M is the complement of a hyperplane arrangement, and A = H ∗ (M, k) is the cohomology r...
The Monodromy Conjecture asserts that if c is a pole of the local topological zeta function of a hyp...
15 pages, final versionInternational audienceWe show a combinatorial formula for a lower bound of th...
Abstract. Let A be an arrangement of ane lines in C2; with complementM(A): The (co)homology of M(A)...
Consider an arrangement (Formula presented.) of homogeneous hyperplanes in (Formula presented.) with...
AbstractMotivated by the Milnor fiber of a central arrangement, we study the cohomology of a family ...
AbstractMotivated by the Milnor fiber of a central arrangement, we study the cohomology of a family ...
We give an explicit expression for the contact loci of hyperplane arrangements and show that their c...