3 papers
math.AG2026
A monotonicity conjecture for the local maximal singularity of the Hilbert scheme of points
Alexia Ascott, Fatemeh Rezaee, Zhichen Zhou
The Briançon-Iarrobino conjecture predicts the maximum singularity of the Hilbert scheme of a tetrahedral number of points. As for the maximal singularities of the Hilbert scheme…
math.AG2025
Geometry of the stability scattering diagram for and applications
Mark Gross, Fatemeh Rezaee
We give a detailed analysis of the stability scattering diagram for introduced by Bousseau. This scattering diagram lives in a subset of , and we decom…
math.AG2025
A proof of the Briançon-Iarrobino Conjecture in three dimensions
Owen Mackenzie, Fatemeh Rezaee
We resolve the 1978 Briançon-Iarrobino Conjecture regarding the maximum singularity of , where is a tetrahedral number, by refinin…