3 papers
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
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.AG2022
E-Polynomials of Generic -Character Varieties: Unbranched Case
Cheng Shu
For any unbranched double covering of compact Riemann surfaces, we study the associated character varieties that are unitary in the global sense, which we call $\text{GL}_n\rtimes\…