Dual Complex of Log Fano Pairs and Its Application to Witt Vector Cohomology

  • Yusuke Nakamura
    Graduate School of Mathematical Sciences, the University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan

説明

<jats:title>Abstract</jats:title><jats:p>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 3.</jats:p>

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