3 papers
math.AG2026
Geography and Deformations of -Covers of General Type Over Weighted Projective Threefolds
Patricio Gallardo, Jayan Mukherjee
We study threefolds of general type constructed as -covers of weighted projective spaces with a particular focus on their invariants, deformation theory, and the be…
math.AG2025
Eigenperiods and the moduli of points in the line
Haohua Deng, Patricio Gallardo
We study the period map of configurations of n points on the projective line constructed via a cyclic cover branching along these points. By considering the decomposition of its Ho…
math.AG2024
Polymatroids and moduli of points in flags
Patricio Gallardo, Javier González-Anaya, José Luis González
We introduce and study different compactifications of the moduli space of distinct weighted labeled points in a flag of affine spaces. We construct these spaces via the weighte…