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arxiv: 1406.5072 · v1 · pith:U5IUXNB2new · submitted 2014-06-19 · 🧮 math.AG

On the Griffiths numbers for higher dimensional singularities

classification 🧮 math.AG
keywords griffithsnumbersingularitiesconjecturedimensiondimensionalgorensteingreater
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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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