Dual Complex of Log Fano Pairs and Its Application to Witt Vector Cohomology
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.
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| Published in: | International mathematics research notices Vol. 2021; no. 13; pp. 9802 - 9833 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford University Press
01-07-2021
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| Online Access: | Get full text |
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| Summary: | 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. |
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| ISSN: | 1073-7928 1687-0247 |
| DOI: | 10.1093/imrn/rnz356 |