3 papers
math.CT2025
Torsion and complete dualizable objects in tensor-triangulated categories over a Noetherian ring
Jun Maillard, Jan Šťovíček
We study categories of dualizable torsion and complete objects for compactly-rigidly generated tensor-triangulated categories T with a Noetherian central action of a graded commuta…
math.CT2025
The derivator of a dg-category
Francesco Genovese, Chiara Sava, Jan Šťovíček
In this work, we construct the stable derivator associated to a homotopically complete and cocomplete dg-category by explicitly defining homotopy Kan extensions via suitable weight…
math.RT2022
Semiorthogonal decompositions for bounded derived categories of gentle algebras
Jakub Kopřiva, Jan Šťovíček
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 Opp…