4 papers · 1 filter
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 m…
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…
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…
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…