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math.AG2025
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…
math.AG2025
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…