4 papers · 1 filter
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…
Mod- monodromy of double covers of branched along hyperplane arrangements
Xiaopeng Xia, Jinxing Xu
We determine the mod- geometric monodromy group of the universal family of double covers of projective space branched along hyperplane arrangements in general position.
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…