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math.AG2025
Dicritical divisors and hypercurvettes
Enrique Artal Bartolo, Willem Veys
Germs of rational functions~ on points of smooth varieties~ define germs of rational maps to the projective line. Assume that is in the indeterminacy locus of . If…
math.AG2025
Superisolated singularities and friends
Enrique Artal Bartolo
Superisolated surface singularities in were introduced by I. Luengo to prove that the -constant stratum may be singular. The main feature of this family is th…
math.AG2025
On a suspension formula for Denef-Loeser zeta functions
E. Artal Bartolo, P. D. González Pérez, M. González Villa +1
Formulas for the topological zeta functions of suspensions by 2 points are due to Artal et al. We generalize these formulas to the motivic level and for arbitrary suspensions, by u…