3 papers
math.AG2025
From logarithmic Hilbert schemes to degenerations of hyperkähler varieties
Qaasim Shafi, Calla Tschanz
We construct the first examples of good type III degenerations of hyperkähler varieties in dimension greater than 2. These are presented as moduli of 0-dimensional subschemes on ex…
math.AG2024
Good models of Hilbert schemes of points over semistable degenerations
Calla Tschanz
In this paper, we explore different possible choices of expanded degenerations and define appropriate stability conditions in order to construct good degenerations of Hilbert schem…
math.AG2023
Expansions for Hilbert schemes of points on semistable degenerations
Calla Tschanz
The aim of this paper is to extend the expanded degeneration construction of Li and Wu to obtain good degenerations of Hilbert schemes of points on semistable families of surfaces,…