An Effective Upper Bound for Anti-Canonical Volumes of Canonical ℚ-Fano Three-folds

Author:

Jiang Chen1,Zou Yu2

Affiliation:

1. Shanghai Center for Mathematical Sciences, Fudan University, Jiangwan Campus, Shanghai, 200438, China

2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

Abstract

AbstractWe show that the anti-canonical volume of a canonical weak ${\mathbb {Q}}$-Fano three-fold is at most $324$.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference39 articles.

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2. Existence of minimal models for varieties of log general type;Birkar;J. Amer. Math. Soc.,2010

3. Fano 3-folds with divisible anticanonical class;Brown;Manuscripta Math.,2007

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5. Log canonical thresholds of del Pezzo surfaces;Cheltsov;Geom. Funct. Anal.,2008

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1. ON THE ANTI-CANONICAL GEOMETRY OF WEAK -FANO THREEFOLDS, III;Nagoya Mathematical Journal;2023-08-22

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