Chengxi Wang

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math.AG2026

Sheaf stable pairs on projective surfaces and birational geometry

Caucher Birkar, Jia Jia, Artan Sheshmani +1

We study moduli space of higher rank marginally stable pairs (E,s:= (s_1,..., s_r)) consisting of torsion free coherent sheaf E of rank r and r sections (s_1,..., s_r) on a smooth…

math.AG2025

Characterization of products of projective spaces via nef complexity

Joshua Enwright, Stefano Filipazzi, Yoshinori Gongyo +4

We define the nef complexity of a projective variety $X$ . This invariant compares $dim X + I ¨ (X)$ with the sum of the coefficients of nef partitions of $- K_{X}$ . We prove that the nef…

math.AG2025

The integral chow ring of $M_{2}^{c t}$

Joseph Helfer, Eric Jovinelly, Eric Larson +2

This paper computes the integral Chow ring of the moduli space $M_{2}^{c t}$ of stable genus 2 curves of compact type. This is done by excising boundary strata from $M ˉ_{2}$ one-by-…

math.AG2024

Exceptional Fano varieties with small minimal log discrepancy

Louis Esser, Jihao Liu, Chengxi Wang

We construct exceptional Fano varieties with the smallest known minimal log discrepancies in all dimensions. These varieties are well-formed hypersurfaces in weighted projective sp…

Sheaf stable pairs on projective surfaces and birational geometry

Characterization of products of projective spaces via nef complexity

The integral chow ring of M2ct​

Exceptional Fano varieties with small minimal log discrepancy

The integral chow ring of $M_{2}^{c t}$