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math.AG2026
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…
math.AG2026
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…