Xianfa Wu

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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 $G = (Z /2 Z)^{4}$ -covers of $P^{2}$ branched along eight genera…

math.AG2026

Compactifications of spaces of symmetric matrices and pointed Kontsevich spaces of isotropic Grassmannians

Hanlong Fang, Alex Massarenti, Xian Wu

We study two closely related families of varieties arising from genus $0$ stable maps to the Lagrangian Grassmannian $LG (n, 2 n)$ . First, we construct the Kausz--type…

math.AG2026

Canonical blow-ups of Lagrangian and Orthogonal Grassmannians

Hanlong Fang, Alex Massarenti, Xian Wu

Let $LG (V \oplus V^{*})$ and $OG^{+} (V \oplus V^{*})$ denote the Lagrangian and orthogonal Grassmannians endowed with the natural $G_{m}$ -actions, respectively. Th…