Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Hanihara, Norihiro"'
Autor:
Hanihara, Norihiro
We study the category $\mathop{\mathrm{ref}}\Lambda$ of reflexive modules over a two-sided Noetherian ring $\Lambda$. We show that the category $\mathop{\mathrm{ref}}\Lambda$ is quasi-abelian if and only if $\Lambda$ satisfies certain Auslander-type
Externí odkaz:
http://arxiv.org/abs/2412.19625
Autor:
Hanihara, Norihiro
We study graded and ungraded singularity categories of some commutative Gorenstein toric singularities, namely, Veronese subrings of polynomial rings, and Segre products of some copies of polynomial rings. We show that the graded singularity category
Externí odkaz:
http://arxiv.org/abs/2412.19040
Autor:
Hanihara, Norihiro
Roots of shifted Serre functors appear naturally in representation theory and algebraic geometry. We give an analogue of Keller's Calabi-Yau completion for roots of shifted inverse dualizing bimodules over dg categories. Given a positive integer $a$,
Externí odkaz:
http://arxiv.org/abs/2412.18753
Autor:
Hanihara, Norihiro
We study commutative Cohen-Macaulay rings whose Cohen-Macaulay representation theory are controlled by representations of quivers, which we call hereditary representation type. Based on tilting theory and cluster tilting theory, we construct some com
Externí odkaz:
http://arxiv.org/abs/2303.14625
Autor:
Hanihara, Norihiro, Iyama, Osamu
We establish a Morita theorem to construct triangle equivalences between the singularity categories of (commutative and non-commutative) Gorenstein rings and the cluster categories of finite dimensional algebras over fields, and more strongly, quasi-
Externí odkaz:
http://arxiv.org/abs/2209.14090
Autor:
Hanihara, Norihiro
We give a structure theorem for Calabi-Yau triangulated category with a hereditary cluster tilting object. We prove that an algebraic $d$-Calabi-Yau triangulated category with a $d$-cluster tilting object $T$ such that its shifted sum $T\oplus\cdots\
Externí odkaz:
http://arxiv.org/abs/2010.14736
Autor:
Hanihara, Norihiro
Given a negatively graded Calabi-Yau algebra, we regard it as a DG algebra with vanishing differentials and study its cluster category. We show that this DG algebra is sign-twisted Calabi-Yau, and realize its cluster category as a triangulated hull o
Externí odkaz:
http://arxiv.org/abs/2003.07858
Autor:
Hanihara, Norihiro
For a finite dimensional algebra $\Lambda$ of finite representation type and an additive generator $M$ for $\mathrm{mod}\,\Lambda$, we investigate the properties of the Yoneda algebra $\Gamma=\bigoplus_{i \geq 0}\mathrm{Ext}_\Lambda^i(M,M)$. We show
Externí odkaz:
http://arxiv.org/abs/1902.09441
Autor:
Hanihara, Norihiro
Publikováno v:
Alg. Number Th. 14 (2020) 2037-2058
We give analogues of the Auslander correspondence for two classes of triangulated categories satisfying certain finiteness conditions. The first class is triangulated categories with additive generators and we consider their endomorphism algebras as
Externí odkaz:
http://arxiv.org/abs/1805.07585
