7 papers
A Sharp Bound for the Second Betti Number of Hyperkähler Sixfolds
Jie Fu, Bin Wang, Shihao Wang +1
Let be a smooth compact irreducible hyperkähler manifold of dimension six. We prove that the second Betti number satisfies . Furthermore, we show that the third…
Minimal reduction type in classical cases
Bin Wang, Xueqing Wen, Yaoxiong Wen
We prove Yun's minimal reduction conjecture for all classical groups. More precisely, for any topologically nilpotent regular semisimple element , we show that the associated mi…
On the generic fibers and true base of parabolic -Hitchin systems
Bin Wang, Xueqing Wen, Yaoxiong Wen
In this paper, we confirm a physical conjecture regarding the parabolic -Hitchin system, showing that Hitchin map factors through a finite cover of the Hitchin ba…
The Dirichlet problem for the prescribed curvature equations in Minkowski space
Bin Wang
We study the Dirichlet problem for functions whose graphs are spacelike hypersurfaces with prescribed curvature in the Minkowski space and we obtain some new interior second order…
Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
Xiaoyu Su, Bin Wang
We study moduli spaces of Higgs sheaves valued in line bundles and the associated Hitchin maps on surfaces. We first work out Picard groups of generic (very general) spectral varie…
Finite Groups of Symplectic Automorphisms of Supersingular K3 surfaces in Odd Characteristics
Bin Wang, Zhiwei Zheng
In 2009, Dolgachev-Keum showed that finite groups of tame symplectic automorphisms of K3 surfaces in positive characteristics are subgroups of the Mathieu group of degree 23. In th…
Springer correspondence and mirror symmetries for parabolic Hitchin systems
Bin Wang, Xueqing Wen, Yaoxiong Wen
We prove the Strominger--Yau--Zaslow and topological mirror symmetries for parabolic Hitchin systems of types B and C. In contrast to type A, a geometric reinterpretation of Spring…