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math.RT2024
Reflexive modules and Auslander-type conditions
Norihiro Hanihara
We study the category of reflexive modules over a two-sided Noetherian ring . We show that the category is quasi-abelian if and…
math.RT2024
Calabi-Yau completions for roots of dualizing dg bimodules
Norihiro Hanihara
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…
math.RT2024
Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities
Norihiro Hanihara
We study graded and ungraded singularity categories of some commutative Gorenstein toric singularities, namely, Veronese subrings of polynomial rings, and Segre products of some co…