Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Stevenson, Greg"'
Autor:
Stevenson, Greg
We give an example of a commutative coherent ring of infinite global dimension such that the category of perfect complexes has finite Rouquier dimension.
Externí odkaz:
http://arxiv.org/abs/2410.04793
We show that for a gradable finite dimensional algebra the perfect complexes and bounded derived category cannot be distinguished by homotopy invariants.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2405.05609
Autor:
Gratz, Sira, Stevenson, Greg
We initiate a systematic study of lattices of thick subcategories for arbitrary essentially small triangulated categories. To this end we give several examples illustrating the various properties these lattices may, or may not, have and show that as
Externí odkaz:
http://arxiv.org/abs/2205.13356
Autor:
Balchin, Scott, Stevenson, Greg
We introduce a new topological invariant of a rigidly-compactly generated tensor-triangulated category and two new notions of support. The first is based on smashing subcategories: it is unknown whether the frame of smashing subcategories is spatial
Externí odkaz:
http://arxiv.org/abs/2109.11934
Autor:
Cameron, James C., Stevenson, Greg
We explicitly present homological residue fields for tensor triangulated categories as categories of comodules in a number of examples across algebra, geometry, and topology. Our results indicate that, despite their abstract nature, they are very nat
Externí odkaz:
http://arxiv.org/abs/2109.10827
Autor:
Balmer, Paul, Stevenson, Greg
Publikováno v:
Journal of the London Mathematical Society, early access, 2021
We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligiannis, particularly in the tensor-triangular setting. We prove a birat
Externí odkaz:
http://arxiv.org/abs/2003.02935
Autor:
Raedschelders, Theo, Stevenson, Greg
We prove that every proper connective DG-algebra $A$ admits a geometric realization (as defined by Orlov) by a smooth projective scheme with a full exceptional collection. As a corollary we obtain that $A$ is quasi-isomorphic to a finite dimensional
Externí odkaz:
http://arxiv.org/abs/1903.02849
Autor:
Gratz, Sira, Stevenson, Greg
We present a method for computing $\mathbb{A}^1$-homotopy invariants of singularity categories of rings admitting suitable gradings. Using this we describe any such invariant, e.g. homotopy K-theory, for the stable categories of self-injective algebr
Externí odkaz:
http://arxiv.org/abs/1803.06144