Ricci平坦Calabi度量不是投影诱导的

IF 0.4 4区数学 Q4 MATHEMATICS

Tohoku Mathematical Journal Pub Date : 2019-12-11 DOI:10.2748/TMJ.20191211

A. Loi, Michela Zedda, F. Zuddas

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引用次数: 7

摘要

证明了紧化Kaehler-Einstein流形上全纯线束上的Ricci平面Calabi的度量不是投影诱导的。作为副产品，我们解决了[arXiv:1705.03908v2]中的一个猜想。通过证明任何Eguchi-Hanson度规的倍数在原点C^2的膨胀上都不是投影诱导的。

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Ricci flat Calabi's metric is not projectively induced

We show that the Ricci flat Calabi's metrics on holomorphic line bundles over compact Kaehler-Einstein manifolds are not projectively induced. As a byproduct we solve a conjecture addressed in [arXiv:1705.03908v2 [math.DG]] by proving that any multiple of the Eguchi-Hanson metric on the blow-up of C^2 at the origin is not projectively induced.

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