Zobrazeno 1 - 10
of 718
pro vyhledávání: '"18G80"'
Autor:
Sheshmani, Artan, Toledo, Angel
In this article we study a relative monoidal version of the Bondal-Orlov reconstruction theorem. We establish an uniqueness result for tensor triangulated category structures $(\boxtimes,\mathbb{1})$ on the derived category $D^{b}(X)$ of a variety $X
Externí odkaz:
http://arxiv.org/abs/2410.20942
We study a weight-exact localization pi of a well generated triangulated category C along with the embedding of the hearts of adjacent t-structures coming from the functor right adjoint to pi. We prove that the functors relating the corresponding fou
Externí odkaz:
http://arxiv.org/abs/2410.20562
Autor:
Contu, Alessandro
Using Hernandez-Leclerc's isomorphism between the derived Hall algebra of a representation-finite quiver $Q$ and the quantum Grothendieck ring of the quantum loop algebra of the Dynkin type of $Q$, we lift the (quantum) cluster algebra structure of t
Externí odkaz:
http://arxiv.org/abs/2410.18604
We compute several types of dimension for the bounded derived categories of coherent sheaves of orbifold curves. This completes the calculation of these dimensions for derived categories of noncommutative curves in the sense of Reiten-van den Bergh.
Externí odkaz:
http://arxiv.org/abs/2410.18061
Autor:
Hanson, Eric J.
Let $\Lambda$ be a finite-dimensional basic algebra. Sakai recently used certain sequences of image-cokernel-extension-closed (ICE-closed) subcategories of finitely generated $\Lambda$-modules to classify certain (generalized) intermediate $t$-struct
Externí odkaz:
http://arxiv.org/abs/2410.01963
Autor:
Bakshi, Sarjick, Keller, Bernhard
We review $\mathrm{Hom}$-infinite Frobenius categorification of cluster algebras with coefficients and use it to give two applications of Jensen--King--Su's Frobenius categorification of the Grassmannian: 1) we determine the $g$-vectors of the Pl\"uc
Externí odkaz:
http://arxiv.org/abs/2410.01037
Autor:
Cai, Merrick, Vashaw, Kent B.
Given a support variety theory defined on the compact part of a monoidal triangulated category, we define an extension to the non-compact part following the blueprint of Benson--Carlson--Rickard, Benson--Iyengar--Krause, Balmer--Favi, and Stevenson.
Externí odkaz:
http://arxiv.org/abs/2410.00853
Autor:
Donovan, W.
Given a crepant contraction f to a singularity X, we may expect a derived symmetry of the source of f. Under easily-checked geometric assumptions, I construct such a symmetry when X is a hypersurface in a smooth ambient S, using a spherical functor f
Externí odkaz:
http://arxiv.org/abs/2409.19555
Autor:
Fushimi, Riku
We characterize locally finite non-positive dg algebras that arise as Koszul duals of locally finite non-positive dg algebras. Moreover, we show that the Koszul dual functor induces contravariant derived equivalnces. As a consequence, we prove that e
Externí odkaz:
http://arxiv.org/abs/2409.08842
Autor:
Kostas, Panagiotis
This paper provides a systematic treatment of Gorenstein homological aspects for cleft extensions of rings. In particular, we investigate Goresnteinness, Gorenstein projective modules and singularity categories in the context of cleft extensions of r
Externí odkaz:
http://arxiv.org/abs/2409.07919