On the Griffiths numbers for higher dimensional singularities
[Sur les nombres de Griffiths pour les singularités de dimension supérieure]
Du, Rong ; Gao, Yun
Annales de l'Institut Fourier, Tome 65 (2015), p. 389-395 / Harvested from Numdam
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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.

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.

Publié le : 2015-01-01
DOI : https://doi.org/10.5802/aif.2935
Classification:  32S05,  14B05
Mots clés: nombre de Griffiths, nombre de Hironaka, singularités de Gorenstein rigides, singularités irrégulières 
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     author = {Du, Rong and Gao, Yun},
     title = {On the Griffiths numbers for higher dimensional singularities},
     journal = {Annales de l'Institut Fourier},
     volume = {65},
     year = {2015},
     pages = {389-395},
     doi = {10.5802/aif.2935},
     zbl = {06496544},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2015__65_1_389_0}
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Du, Rong; Gao, Yun. On the Griffiths numbers for higher dimensional singularities. Annales de l'Institut Fourier, Tome 65 (2015) pp. 389-395. doi : 10.5802/aif.2935. http://gdmltest.u-ga.fr/item/AIF_2015__65_1_389_0/

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