Tomohiro Okuma

activity

20052026

most citedThe geometric genus of splice-quotient singularities

63 citations · 237 across the 22 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.AC2024

A Geometric description of almost Gorensteinness for two-dimensional normal singularities

Tomohiro Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida

Let $A$ be an excellent two-dimensional normal local ring containing an algebraically closed field. Then $A$ is called an elliptic singularity if $p_{f} (A) = 1$ , where $p_{f}$ denotes th…

math.AC2024

On Gorensteinness of associated graded rings of filtrations

Meghana Bhat, Saipriya Dubey, Shreedevi K. Masuti +4

Let $(A, m)$ be a Gorenstein local ring, and $F = {F_{n}}_{n \in Z}$ a Hilbert filtration. In this paper, we give a criterion for Gorensteinness of the…

math.AG2024

The multiplicity of cyclic coverings of a singularity of an algebraic variety

Toya Kumagai, Tomohiro Okuma

Let $V$ be an affine algebraic variety, and let $p \in V$ be a singular point. For a regular function $g$ on $V$ such that $g (p) = 0$ and for a positive integer $n$ , we consider the c…