Small Deformation of Normal Singularities (Erratum).
Small Deformations of Normal Singularities.
Some Projective Concentration Theorems.
The asymptotic behavior of plurigenera for a normal isolated singularity.
On Isolated Gorenstein Singularities.
Quasi-Gorenstein Fano 3-folds with isolated non-rational loci
Mather discrepancy and the arc spaces
A goal of this paper is a characterization of singularities according to a new invariant, Mather discrepancy. We also show some evidences convincing us that Mather discrepancy is a reasonable invariant in a view point of birational geometry.
The Local Nash problem on arc families of singularities
This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to the local Nash problem for a quasi-ordinary singularity.
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