Results 41 to 50 of about 198 (75)
Idempotent modules, locus of compactness and local supports
, 2022 Let $kG$ be the group algebra of a finite group scheme defined over a field $k$ of characteristic $p>0$. Associated to any closed subset $V$ of the projectivized prime ideal spectrum $\operatorname{Proj} \operatorname{H}^*(G,k)$ is a thick tensor ideal ...
Carlson, Jon F.
core
ENTROPY OF THE COMPOSITION OF TWO SPHERICAL TWISTS [PDF]
Given a categorical dynamical system, i.e. a triangulated category together with an endofunctor, one can try to understand the complexity of the system by computing the entropy of the endofunctor.
Barbacovi, Federico, Kim, Jongmyeong
core +1 more source
Obstructions to the existence of Bounded {\it t}--structures
, 2022 In a striking 2019 article, Antieau, Gepner and Heller found {\it K--}theoretic obstructions to bounded t-structures. We will survey their work, as well as some progress since.
Neeman, Amnon
core
On splitting of morphisms induced by unit map of adjoint functors
Given a right adjoint functor between triangulated categories and an object in the target category, we show that the unit map of adjunction on that object is a split monomorphism if and only if the object belongs to the additive closure of (all possible)
Dey, Souvik
core
Contractibility of the geometric stability manifold of a surface
Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible.
Rekuski, Nick
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Hochschild cohomology parametrizes curved Morita deformations
We show that, if one allows for curved deformations, the canonical map introduced in [KL09] between Morita deformations and second Hochschild cohomology of a dg algebra becomes a bijection.
Lehmann, Alessandro
core
Hereditary $n$-exangulated categories
Herschend-Liu-Nakaoka introduced the concept of $n$-exangulated categories as higher-dimensional analogues of extriangulated categories defined by Nakaoka-Palu.
He, Jian, He, Jing, Zhou, Panyue
core
Higher residues and canonical pairing on the twisted de Rham cohomology
We describe an explicit formula of the canonical pairing on the twisted de Rham cohomology associated with the category of local matrix factorizations and by characterizing its relation to Saito's higher residue pairings, we reprove the conjecture of ...
Kim, Hoil, Kim, Taejung
core
Triangulated structure for Bondarenko's Categories
V. Bondarenko and Y. Drozd gives a description of all indecomposable objects in a category of representations of posets, nowadays known as the Bondarenko's category. This category was essential for V. Bekkert and H.
Benitez, Germán +2 more
core
Module factorizations with two factors of a regular normal element in a ring are newly introduced by Xiao-Wu Chen. In the paper, we introduce n-fold module factorizations, that is, module factorizations with n factors.
Sun, Yongliang, Zhang, Yaohua
core