3 papers
math.AG2026
Stabilization of intersection Betti numbers for moduli spaces of one-dimensional sheaves on surfaces
Fei Si, Feinuo Zhang
In this paper, we develop a unified approach to study the intersection Betti numbers of moduli spaces of one-dimensional semistable sheaves on smooth projective surfaces. Assuming…
math.AG2026
Two results regarding the variation of K-moduli
Fei Si, Zheng Zhang, Chuyu Zhou
In this note, we prove two results regarding the variation of K-moduli. The first one reveals the relationship between the chamber decomposition for K-semistable domains and the va…
math.AG2025
On the Picard numbers of moduli spaces of one-dimensional sheaves on surfaces
Fei Si, Feinuo Zhang
Motivated by asymptotic phenomena of moduli spaces of higher rank stable sheaves on algebraic surfaces, we study the Picard number of the moduli space of one-dimensional stable she…