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arXiv · 1903.07248

Dual complex of log Fano pairs and its application to Witt vector cohomology

Yusuke Nakamura
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Abstract

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.

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Yusuke Nakamura. 2019-03-18. Dual complex of log Fano pairs and its application to Witt vector cohomology. https://doi.org/10.1093/imrn%2Frnz356

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