We prove the contractibility of the dual complexes of weak log Fano pairs. As applications, we obtain a vanishing theorem of Witt vector cohomology of Ambro-Fujino type and a rational point formula in dimension three.

中文翻译：

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对数范诺对的对偶复形及其在 Witt 向量上同调中的应用

我们证明了弱对数 Fano 对的对偶复形的可收缩性。作为应用，我们得到了Ambro-Fujino型Witt矢量上同调的消失定理和三维有理点公式。