Hanlong Fang

activity

20242026

collaborators

7 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.CV2026

The automorphism groups of generalized Kausz compactifications and spaces of complete collineations

Hanlong Fang

In this paper, we determine the automorphism groups of generalized Kausz compactifications $T_{s, p, n}$ . By establishing the (semi-)positivity of the anticanonical bundles…

math.AG2025

Fineness and smoothness of a KSBA moduli of marked cubic surfaces

Hanlong Fang, Luca Schaffler, Xian Wu

By work of Gallardo-Kerr-Schaffler, it is known that Naruki's compactification of the moduli space of marked cubic surfaces is isomorphic to the normalization of the KollÃ¡r, Sheph…

math.AG2024

Canonical blow-ups of Grassmannians I: How canonical is a Kausz compactification?

Hanlong Fang, Xian Wu

In this paper, we develop a simple uniform picture incorporating the Kausz compactifications and the spaces of complete collineations by blowing up Grassmannians $G (p, n)$ according…