2 citations · 2 across the 5 of their papers we have counts for
5 papers
On the image of Hitchin morphism for some classical groups on algebraic surfaces
Artan Sheshmani, Jianping Wang, Xiaopeng Xia
In this article, we study the image of the Hitchin morphism for some classical groups over an algebraic surface. The Hitchin morphism is a map from the moduli stack of -Higgs bu…
Geometric monodromy of double covers of branched along hyperplane arrangements
Xiaopeng Xia, Jinxing Xu
Let , let be even, and let be an odd prime. Over an algebraically closed field in which is invertible, we determine the geometric mod- and in…
On the normality of commuting scheme for general linear Lie algebra
Artan Sheshmani, Xiaopeng Xia, Beihui Yuan
The commuting scheme for reductive Lie algebra over an algebraically closed field is the subscheme of $\mathfrak{g}^{d…
A higher-dimensional Chevalley restriction theorem for classical groups in characteristic p
Xiaopeng Xia
We establish a theorem concerning the commuting scheme in characteristic p. As a significant application of this theorem, we derive an explicit lower bound for the characteristic p…
A higher-dimensional Chevalley restriction theorem for orthogonal groups
Lei Song, Xiaopeng Xia, Jinxing Xu
We prove a higher-dimensional Chevalley restriction theorem for orthogonal groups, which was conjectured by Chen and Ngô for reductive groups. In characteristic , we also prov…