On the Griffiths numbers for higher dimensional singularities
Annales de l'Institut Fourier, Volume 65 (2015) no. 1, pp. 389-395.

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.

Nous montrons que la conjecture de Yau sur les inégalités concernant le (n-1)-ième nombre de Griffiths et le (n-1)-ième nombre de Hironaka n’est pas vraie en général pour les singularités de Gorenstein isolées rigides de dimension supérieure à 2. Cependant, la première conjecture sur les inégalités concernant le (n-1)-ième nombre de Griffiths est vraie pour les singularités irrégulières.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/aif.2935
Classification: 32S05,  14B05
Keywords: Griffiths number, Hironaka number, rigid Gorenstein singularity, irregular singularity
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Du, Rong; Gao, Yun. On the Griffiths numbers for higher dimensional singularities. Annales de l'Institut Fourier, Volume 65 (2015) no. 1, pp. 389-395. doi : 10.5802/aif.2935. https://aif.centre-mersenne.org/articles/10.5802/aif.2935/

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