A canonical Fano threefold has degree at most 72

Abstract We show that the anti-canonical volume of a canonical weak Fano 3-fold is at most 72. This upper bound is optimal.

Authors

Y. Zou (ORCID: https://orcid.org/0000-0002-3489-0860)
Chen Jiang (ORCID: https://orcid.org/0000-0003-0562-6240)
Tianqi Zhang (ORCID: https://orcid.org/0009-0002-4026-0555)

Institutions

Chongqing University (CN)
Fudan University (CN)

Publication Details

Journal: Journal für die reine und angewandte Mathematik (Crelles Journal)
Published: 2026-08-18
DOI: https://doi.org/10.1515/crelle-2026-0063
Primary Topic: Geometry and complex manifolds
Type: article
Field-Weighted Citation Impact: 0.00

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article

A canonical Fano threefold has degree at most 72

Y. Zou, Chen Jiang, Tianqi Zhang

Aug 18, 2026

Journal für die reine und angewandte Mathematik (Crelles Journal)

Geometry and complex manifolds

article

A canonical Fano threefold has degree at most 72

Y. Zou, Chen Jiang, Tianqi Zhang

August 18, 2026article en

Abstract

Abstract We show that the anti-canonical volume of a canonical weak Fano 3-fold is at most 72. This upper bound is optimal.

Journal für die reine und angewandte Mathematik (Crelles Journal)

Chongqing University (CN), Fudan University (CN)

Openalex Percentile: Top 5%

Geometry and complex manifolds

DOI Source OpenAlex

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