AN EFFECTIVE UPPER BOUND FOR ANTI-CANONICAL VOLUMES OF SINGULAR FANO THREEFOLDS

IF 1.1 2区数学 Q1 MATHEMATICS Journal of the Institute of Mathematics of Jussieu Pub Date : 2024-03-08 DOI:10.1017/s1474748024000070

Chen Jiang, Yu Zou

引用次数: 0

Abstract

For a real number Abstract Image $0<\epsilon <1/3$, we show that the anti-canonical volume of an $\epsilon $-klt Fano $3$-fold is at most $3,200/\epsilon ^4$, and the order $O(1/\epsilon ^4)$ is sharp.

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奇异扇形三次方反规范体积的有效上界

对于实数$0<epsilon <1/3$，我们证明了一个$\epsilon $-klt Fano $3$-fold 的反规范体积最多为$3,200/\epsilon ^4$，并且阶数$O(1/\epsilon ^4)$是尖锐的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

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审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.

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