3 papers
math.AG2026
Moduli of Persson surfaces: The compactification via KSBA stable pairs and a generic global Torelli type theorem
Hanlong Fang, Bin Nguyen, Xian Wu +1
We study a family of canonically polarized surfaces introduced by Persson, which arise as Galois -covers of branched along eight genera…
math.AG2025
Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives
Xun Lin, Shizhuo Zhang, Zheng Zhang
We investigate infinitesimal Torelli problems for some of the Fano threefolds of the following two types: (a) those which can be described as zero loci of sections of vector bundle…
math.AG2024
Three approaches to a categorical Torelli theorem for cubic threefolds of non-Eckardt type via the equivariant Kuznetsov components
Sebastian Casalaina-Martin, Xianyu Hu, Xun Lin +2
Let be a cubic threefold with a non-Eckardt type involution . Our first main result is that the -equivariant category of the Kuznetsov component $\mathcal{K}u_{\mathbb{Z}…