Xianfa Wu

collaborators

5 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 $G = (Z /2 Z)^{4}$ -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…

math.QA2025

Lyndon bases of split $$ quantum groups

Run-Qiang Jian, Li Luo, Xianfa Wu

We introduce and study Lyndon bases of split $$ quantum groups $U^{} (g)$ . A relationship between the Lyndon bases and PBW-type bases was provided. As a…

math.RT2025

Super-extensions of tensor algebras and their applications

Run-Qiang Jian, Xianfa Wu

Following arXiv:0909.5586 and arXiv:1411.4125, we construct two super-extensions of the usual tensor algebra through the super-actions of symmetric groups and Hecke algebras respec…

Moduli of Persson surfaces: The compactification via KSBA stable pairs and a generic global Torelli type theorem

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

Canonical blow-ups of Lagrangian and Orthogonal Grassmannians

Lyndon bases of split quantum groups

Super-extensions of tensor algebras and their applications

Lyndon bases of split $$ quantum groups