On the Griffiths numbers for higher dimensional singularities

Rong Du; Yun Gao

doi:10.5802/aif.2935

On the Griffiths numbers for higher dimensional singularities

Rong Du
, Yun Gao

数学科学学院

Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We show that Yau's conjecture on the inequalities for (n - 1)-th Griffiths number and (n - 1)-th Hironaka number does not hold for isolated rigid Gorenstein singularities of dimension greater than 2. But his conjecture on the inequality for (n - 1)-th Griffiths number is true for irregular singularities.

源语言	英语
页（从-至）	389-395
页数	7
期刊	Annales de l'Institut Fourier
卷	65
期	1
DOI	https://doi.org/10.5802/aif.2935
出版状态	已出版 - 2015

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AU - Gao, Yun

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N2 - We show that Yau's conjecture on the inequalities for (n - 1)-th Griffiths number and (n - 1)-th Hironaka number does not hold for isolated rigid Gorenstein singularities of dimension greater than 2. But his conjecture on the inequality for (n - 1)-th Griffiths number is true for irregular singularities.

AB - We show that Yau's conjecture on the inequalities for (n - 1)-th Griffiths number and (n - 1)-th Hironaka number does not hold for isolated rigid Gorenstein singularities of dimension greater than 2. But his conjecture on the inequality for (n - 1)-th Griffiths number is true for irregular singularities.

KW - Griffiths number

KW - Hironaka number

KW - Irregular singularity

KW - Rigid Gorenstein singularity

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On the Griffiths numbers for higher dimensional singularities

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