4 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 the Jacobian polygon and Åojasiewicz exponent of isolated complex hypersurface singularities
Baldur Sigurðsson
Given a hypersurface singularity defined by a holomorphic function , we introduce an alternating ver…