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math.GT2026
Smoothing of singular intersections of ellipsoids: pyramitoid
Enrique Artal Bartolo, Santiago López de Medrano, María Teresa Lozano Imízcoz
The goal of this work is to continue the study the smoothings of 3-dimensional manifolds with singularities obtained as small covers of non simple right-angle Coxeter polyhedral or…
math.AG2026
Topology of complex plane curves: braid monodromy, local and global problems
Enrique Artal Bartolo
The embeddings of complex plane projective curves in the plane are a cornerstone of the topological study of algebraic varieties. In this work, we deal with the local and global as…
math.AG2026
Denef-Loeser zeta functions of suspensions and Lê-Yomdin singularities
Enrique Artal Bartolo, Pedro D. González Pérez, Manuel González Villa +1
The holomorphy conjecture for suspensions of plane curve singularities and the holomorphy and monodromy conjectures for Lê-Yomdin singularities of surfaces are proved. The first pa…