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math.AG2024
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…
math.AG2024
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…
math.AG2024
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…