Ken-ichi Yoshida

activity

20242026

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4 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.AG2024

On vanishing of higher direct images of the structure sheaf

Shihoko Ishii, Ken-ichi Yoshida

We show the vanishing of the first direct image of the structure sheaf of a normal scheme $X$ which is mapped properly and birationally over a regular scheme of any dimension. On t…

math.GT2024

Links in the spherical 3-manifold obtained from the quaternion group and their lifts

Ken'ichi Yoshida

We show that there are infinitely many triples of non-isotopic hyperbolic links in the lens space $L (4, 1)$ such that the three lifts of each triple in $S^{3}$ are isotopic. They ar…

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…