Fei Si

activity

20212024

collaborators

6 papers

math.AG2024

Cohomological stabilization, perverse filtrations, and refined BPS invariants for del Pezzo surfaces

Weite Pi, Junliang Shen, Fei Si +1

We prove an asymptotic product formula for the refined BPS invariants associated with a local del Pezzo surface. Our formula governs the cohomological stabilization of the perverse…

math.AG2024

Asymptotic Behaviors of Moduli of One-dimensional Sheaves on Surfaces

Fei Si, Feinuo Zhang

In this paper, we study the asymptotic behaviors of the Betti numbers and Picard numbers of the moduli space $M_{β, χ}$ of one-dimensional sheaves supported in a curve class $β$ on…

math.AG2024

Chow ring of moduli spaces of quasi-polarised K3 surfaces in lower genus

Fei Si

In the paper, we show the Chow ring of moduli spaces of quasi-polarised K3 surfaces in lower genus ( $\leq 5$ ) is tautological.

math.AG2023

Birational geometry of moduli space of del Pezzo pairs

Long Pan, Fei Si, Haoyu Wu

In this paper, we investigate the geometry of the moduli space $P_{d}$ of degree $d$ smooth del Pezzo pairs, which consists of a smooth del Pezzo surface $X$ of degree $d$ and a smoo…

math.AG2023

K moduli of log del Pezzo pairs

Long Pan, Fei Si, Haoyu Wu

We establish the full explicit wall-crossing for K-moduli space $P_{c}^{K}$ of degree $8$ del Pezzo pairs $(X, c C)$ where generically $X \cong \bbF_1$ and $C \sim - 2 K_{X}$ . We…

math.AG2021

Cohomology of moduli space of cubic fourfolds I

Fei Si

In this paper we compute the cohomology of moduli space of cubic fourfolds with ADE type singularities relying on Kirwan's blowup and Laza's GIT construction. More precisely, we ob…