A canonical Fano threefold has degree $\leq 72$

Fuente: arXiv
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Autori principali: Jiang, Chen, Zhang, Tianqi, Zou, Yu
Natura: Preprint
Pubblicazione: 2025
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author Jiang, Chen
Zhang, Tianqi
Zou, Yu
author_facet Jiang, Chen
Zhang, Tianqi
Zou, Yu
contents We show that the anti-canonical volume of a canonical weak Fano $3$-fold is at most $72$. This upper bound is optimal.
format Preprint
id arxiv_https___arxiv_org_abs_2510_06856
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A canonical Fano threefold has degree $\leq 72$
Jiang, Chen
Zhang, Tianqi
Zou, Yu
Algebraic Geometry
14J45, 14J30, 14J17
We show that the anti-canonical volume of a canonical weak Fano $3$-fold is at most $72$. This upper bound is optimal.
title A canonical Fano threefold has degree $\leq 72$
topic Algebraic Geometry
14J45, 14J30, 14J17
url https://arxiv.org/abs/2510.06856