5 citations · 5 across the 6 of their papers we have counts for
6 papers
The Milnor fiber boundary of an arrangement determines its combinatorics
Baldur Sigurðsson, Juan Viu-Sos
The boundary of the Milnor fiber associated with a complex line arrangement is a three dimensional plumbed manifold, and it is a combinatorial invariant. We prove the reverse impli…
On the integral variation map of isolated plane curves singularities
Pablo Portilla Cuadrado, Baldur Sigurðsson
The integral variation map and algebraic monodromy of isolated plane curve singularities are important homological invariants of the singularity which are still far from being comp…
The total spine of the Milnor fibration of a plane curve singularity
Pablo Portilla Cuadrado, Baldur Sigurðsson
For any plane curve singularity defined by an analytic function germ , we construct a spine on each Milnor fiber simultaneously, that realizes the vanishing topology. In order t…
On ideal filtrations for Newton nondegenerate surface singularities
Baldur Sigurðsson
We compare three naturally occurring multi-indexed filtrations of ideals on the local ring of a Newton nondegenerate hypersurface surface singularity with rational homology sphere,…
The geometric genus and Seiberg-Witten invariant of Newton nondegenerate surface singularities
Baldur Sigurðsson
Given a normal surface singularity (X,0), its link, M is a closed differentiable three dimensional manifold which carries much analytic information. It is an interesting question t…
The Milnor fiber of the singularity f(x,y) + zg(x,y) = 0
Baldur Sigurðsson
We give a description of the Milnor fiber and the monodromy of a singularity of the form f+zg = 0 where f and g define plane curves and have no common components. The description d…