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math.AG2026
-gerbes on perfectoid spaces
Xiaohuan Long, Yibin Wang, Xiangdong Wu +1
Let be a complete non-archimedean field over , be a rigid group over , and be a perfectoid space over . We consider the natural morphism of sites $Î…
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 Kollár, 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 according…