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math.AC2022
Faltings' annihilator theorem and t-structures of derived categories
Ryo Takahashi
In this paper, we prove Faltings' annihilator theorem for complexes over a CM-excellent ring. As an application, we give a complete classification of the t-structures of the bounde…
math.AC2022
On the categorical entropy of the Frobenius pushforward functor
Hiroki Matsui, Ryo Takahashi
In this paper, we consider the Frobenius pushforward endofunctor of the bounded derived category of finitely generated modules over an -finite noetherian local ring. We…
math.AC2022
When is a subcategory Serre or torsionfree?
Kei-ichiro Iima, Hiroki Matsui, Kaori Shimada +1
Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated R-modules. In the present paper, we first provide various sufficient (and necessary) cond…