6 citations · 29 across the 18 of their papers we have counts for
18 papers
Semiclassical asymptotics for Bergman projections with Gevrey weights
Haoren Xiong, Hang Xu
We extend the direct approach to the semiclassical asymptotics for Bergman projections, developed by Deleporte--Hitrik--Sjöstrand for real analytic exponential weights and Hitrik--…
Kähler-Einstein metrics and obstruction flatness II: unit sphere bundles
Peter Ebenfelt, Ming Xiao, Hang Xu
This paper concerns obstruction flatness of hypersurfaces that arise as unit sphere bundles of Griffiths negative Hermitian vector bundles over Kähler manifolds…
Kähler-Einstein metrics and obstruction flatness of circle bundles
Peter Ebenfelt, Ming Xiao, Hang Xu
Obstruction flatness of a strongly pseudoconvex hypersurface in a complex manifold refers to the property that any (local) Kähler-Einstein metric on the pseudoconvex side of $Σ…
Algebraic Bergman kernels and finite type domains in
Peter Ebenfelt, Ming Xiao, Hang Xu
Let be a smoothly bounded pseudoconvex domain and assume that the Bergman kernel of is algebraic of degree . We show that the boundary …
On bases of quantum affine algebras
Jie Xiao, Han Xu, Minghui Zhao
Let be the positive part of the quantum group associated with a generalized Cartan matrix. In the case of finite type, Lusztig constructed the canonical…
Tame quivers and affine bases I: a Hall algebra approach to the canonical bases
Jie Xiao, Han Xu, Minghui Zhao
For quantum group of affine type, Lusztig gave an explicit construction of the affine canonical basis by simple perverse sheaves. In this paper, we construct a bar-invariant basis…