Zobrazeno 1 - 10
of 278
pro vyhledávání: '"Šťovíček, Jan"'
Autor:
Positselski, Leonid, Stovicek, Jan
We show that every flat quasi-coherent sheaf on a quasi-compact quasi-separated scheme is a directed colimit of locally countably presentable flat quasi-coherent sheaves. More generally, the same assertion holds for any countably quasi-compact, count
Externí odkaz:
http://arxiv.org/abs/2212.09639
Autor:
Positselski, Leonid, Stovicek, Jan
Publikováno v:
Math. Zeitschrift 308 #1 (2024), article no.14, 70 pp
The concept of an abelian DG-category, introduced by the first-named author in arXiv:2110.08237, unites the notions of abelian categories and (curved) DG-modules in a common framework. In this paper we consider coderived and contraderived categories
Externí odkaz:
http://arxiv.org/abs/2210.08237
Autor:
Kopřiva, Jakub, Šťovíček, Jan
We study semiorthogonal decompositions of bounded derived categories of gentle algebras and how they are manifested in the geometric model of these categories as constructed by Opper, Plamondon and Schroll. We prove that there is a one-to-one corresp
Externí odkaz:
http://arxiv.org/abs/2209.14496
In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the "slice" condition. Our new construction is based on local cohomology and it a
Externí odkaz:
http://arxiv.org/abs/2207.01309
Autor:
Positselski, Leonid, Stovicek, Jan
Publikováno v:
Algebras and Represent. Theory 27 (2024), #1, p.245-278
We define topologically semiperfect (complete, separated, right linear) topological rings and characterize them by equivalent conditions. We show that the endomorphism ring of a module, endowed with the finite topology, is topologically semiperfect i
Externí odkaz:
http://arxiv.org/abs/2201.03488
Mutation of compact silting objects is a fundamental operation in the representation theory of finite-dimensional algebras due to its connections to cluster theory and to the lattice of torsion pairs in module or derived categories. In this paper we
Externí odkaz:
http://arxiv.org/abs/2201.02147
Autor:
Positselski, Leonid, Stovicek, Jan
Publikováno v:
Journ. Pure Appl. Algebra 226 no.4 (2022), 106883, 39 pp
For a locally presentable abelian category $\mathsf B$ with a projective generator, we construct the projective derived and contraderived model structures on the category of complexes, proving in particular the existence of enough homotopy projective
Externí odkaz:
http://arxiv.org/abs/2101.10797