English

On the Griffiths numbers for higher dimensional singularities

Algebraic Geometry 2014-06-20 v1

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.

Cite

@article{arxiv.1406.5072,
  title  = {On the Griffiths numbers for higher dimensional singularities},
  author = {Rong Du and Yun Gao},
  journal= {arXiv preprint arXiv:1406.5072},
  year   = {2014}
}

Comments

to appear in Annales de l'Institut Fourier

R2 v1 2026-06-22T04:42:25.995Z