20 citations · 59 across the 18 of their papers we have counts for
19 papers
Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularities
Hokuto Uehara
We introduce the categories $\CM(X)$ and $\SCM(X)$ of reflexive sheaves on a minimal partial resolution $f\colon X \to \Spec R$ of a rational surface singularity $\Spec R$. The mai…
Singularity categories of rational double points in arbitrary characteristic
Yuta Takashima, Hokuto Uehara
We establish a one-to-one correspondence between the singularity categories of rational double points and the simply-laced Dynkin graphs in arbitrary characteristic. This correspon…
Fourier--Mukai partners of elliptic ruled surfaces over arbitrary characteristic fields
Hokuto Uehara, Tomonobu Watanabe
The first author explicitly describes the set of Fourier--Mukai partners of elliptic ruled surfaces over the complex number field in \cite{Ue17}. In this article, we generalize it…
Elliptic ruled surfaces over arbitrary characteristic fields
Takato Togashi, Hokuto Uehara
Atiyah classifies vector bundles on elliptic curves over an algebraically closed field of any characteristic. On the other hand, a rank vector bundle on defines a surfa…
Exceptional collections on
Akira Ishii, Shinnosuke Okawa, Hokuto Uehara
Structure theorems for exceptional objects and exceptional collections of the bounded derived category of coherent sheaves on del Pezzo surfaces are established by Kuleshov and Orl…
A trichotomy for the autoequivalence groups on smooth projective surfaces
Hokuto Uehara
We study autoequivalence groups of the derived categories on smooth projective surfaces, and show a trichotomy of types according to the maximal dimension of Fourier--Mukai kernels…