Dual Complex of Log Fano Pairs and Its Application to Witt Vector Cohomology-Reference-Cited by-同舟云学术

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

Published:2020-01-15 Issue:13 Volume:2021 Page:9802-9833
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Nakamura Yusuke¹

Affiliation:

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

Abstract

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 3.

Funder

Grant-in-Aid for Young Scientists

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/13/9802/40358205/rnz356.pdf

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