Kähler-Einstein范诺22度的三倍

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2018-03-07 DOI:10.1090/jag/812

I. Cheltsov, C. Shramov

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引用次数: 4

摘要

研究了Picard秩为1、反正则度为2222的光滑Fano三重矩阵上Kähler-Einstein度量的存在性问题，该三重矩阵承认乘法群C∗\mathbb {C}^\ast的忠实作用。我们证明，除了两种明确描述的情况外，所有这些光滑的法诺三倍都是Kähler-Einstein。

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Kähler–Einstein Fano threefolds of degree 22

We study the problem of existence of Kähler–Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 22 that admit a faithful action of the multiplicative group C ∗ \mathbb {C}^\ast . We prove that, with the possible exception of two explicitly described cases, all such smooth Fano threefolds are Kähler–Einstein.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.