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

School of Mathematical Sciences

Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	389-395
Number of pages	7
Journal	Annales de l'Institut Fourier
Volume	65
Issue number	1
DOIs	https://doi.org/10.5802/aif.2935
State	Published - 2015

Keywords

Griffiths number
Hironaka number
Irregular singularity
Rigid Gorenstein singularity

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10.5802/aif.2935

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abstract = "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.",

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AU - Gao, Yun

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PY - 2015

Y1 - 2015

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.

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KW - Hironaka number

KW - Irregular singularity

KW - Rigid Gorenstein singularity

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EP - 395

JO - Annales de l'Institut Fourier

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On the Griffiths numbers for higher dimensional singularities

Abstract

Keywords

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