3 papers
math.AG2025
Singularities of character varieties
Cheng Shu
For any complex reductive group and any compact Riemann surface with genus , we show that every connected component of the associated character variety is -fac…
math.RT2025
The tame Deligne-Simpson problem
Cheng Shu
The objective of this article is to prove the necessity statement in Crawley-Boevey's conjectural solution to the (tame) Deligne-Simpson problem. We use the nonabelian Hodge corres…
math.AG2024
Mirror of Orbifold Singularities in the Hitchin Fibration: the case
Yongbin Ruan, Cheng Shu
We study the geometry of singular -Hitchin fibres over the elliptic locus. We show that orbifold singularities appear in the -moduli space $M^{ell}(\text…