60 citations · 392 across the 111 of their papers we have counts for
9 papers · 1 filter
Maximal Cohen-Macaulay approximations and Serre's condition
Hiroki Matsui, Ryo Takahashi
This paper studies the relationship between Serre's condition and Auslander--Buchweitz's maximal Cohen--Macaulay approximations. It is proved that a Gorenstein local ring…
Extremal boundedness of a variational functional in point vortex mean field theory associated with probability measures
Takashi Suzuki, Ryo Takahashi, Xiao Zhang
We study a variational functional of Trudinger-Moser type associated with one-sided Borel probability measure. Its boundedness at the extremal parameter holds when the residual van…
Critical blowup exponent to a class of semilinear elliptic equations with constraints in higher dimension - local properties
Takashi Suzuki, Ryo Takahashi
We study a class of semilinear elliptic equations with constraints in higher dimension. It is known that several mathematical structures of the problem are closed to those of the L…
Singularity categories and singular equivalences for resolving subcategories
Hiroki Matsui, Ryo Takahashi
Let $\X$ be a resolving subcategory of an abelian category. In this paper we investigate the singularity category $\ds(\underline\X)=\db(\mod\underline\X)/\kb(\proj(\mod\underline\…
Perfect linkage of Cohen--Macaulay modules over Cohen--Macaulay rings
Kei-ichiro Iima, Ryo Takahashi
In this paper, we introduce and study the notion of linkage by perfect modules, which we call perfect linkage, for Cohen-Macaulay modules over Cohen--Macaulay local rings. We explo…
Endofunctors of singularity categories characterizing Gorenstein rings
Takuma Aihara, Ryo Takahashi
In this paper, we prove that certain contravariant endofunctors of singularity categories characterize Gorenstein rings.