9 citations · 9 across the 5 of their papers we have counts for
4 papers · 1 filter
A variant of R{ö}hr's vanishing theorem with an application to the normal reduction number for normal surface singularities
Tomohiro Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida
Let be an excellent two-dimensional normal local ring containing an algebraically closed field and let be a resolution of singularity. We prove a theor…
Nearly Gorenstein rational surface singularities
Kyosuke Maeda, Tomohiro Okuma, Kei-ichi Watanabe +1
In this paper, we show that for any rational surface singularity , the canonical trace ideal is an integrally closed ideal, which is represented by the mini…
The multiplicity of cyclic coverings of a singularity of an algebraic variety
Toya Kumagai, Tomohiro Okuma
Let be an affine algebraic variety, and let be a singular point. For a regular function on such that and for a positive integer , we consider the c…
Analytic singularities supported by a specific integral homology sphere link
András Némethi, Tomohiro Okuma
The main question we target is the following: If one fixes a topological type of a complex normal surface singularity then what are the possible analytic types supported by it, and…