7 citations · 9 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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\…
E-Polynomials of Generic -Character Varieties: Branched Case
Cheng Shu
For any branched double covering of compact Riemann surfaces, we consider the associated character varieties that are unitary in the global sense, which we call $\text{GL}_n\rtimes…
The Character Table of
Cheng Shu
We compute the character table of , being an order 2 exterior automorphism.
On Character Varieties with Non-Connected Structure Groups
Cheng Shu
We define character varieties with non-connected structure groups of finitely presented discrete groups and study some basic aspects, such as generic conjugacy classes and relation…