%0 Journal Article %T On the Griffiths numbers for higher dimensional singularities %A Rong Du %A Yun Gao %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1406.5072v1