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math.AG2025
Topology of the punctual Hilbert schemes of plane curve singularities with a single Puiseux pair
Masahiro Watari
Piontkowski proved the existence of affine cell decompositions of Jacobian factors of plane curve singularities with a single Puiseux pair. He also provided a combinatorial descrip…
math.AG2024
Motivic Hilbert zeta functions for curve singularities and related invariants
Masahiro Watari
In the present paper, we show that the motivic Hilbert zeta function for a curve singularity yields the generating functions for Euler numbers of punctual Hilbert schemes when any…