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math.RT2026
Finitistic dimension via modules over the singularity category
Panagiotis Kostas
We combine results of Rickard and Shaul with methods of intrinsic homological algebra and the theory of purity to prove that the finiteness of the big finitistic dimension of an Ar…
math.RT2026
Homological Aspects of Separable Extensions of Triangulated Categories
Miltiadis Karakikes, Panagiotis Kostas
We investigate the homological behaviour of compactly generated triangulated categories under separable extensions. We show that homological invariants (finiteness of global dimens…
math.RT2026
Global dimension of dg algebras via compact silting objects
Panagiotis Kostas
We introduce a notion of global dimension for a triangulated category relative to a compact silting object. We prove that the finiteness of this dimension is an intrinsic property…