5 papers
Non-distributive lattices of thick tensor-ideals via trivial extensions
Charalampos Verasdanis
We construct non-rigid tensor-triangulated categories with non-distributive lattice of thick tensor-ideals.
The singularity category of a separable extension
Charalampos Verasdanis
We prove that separable extensions of noetherian rings and finite étale morphisms of noetherian schemes give rise to separable extensions of singularity categories.
Colocalizing subcategories of singularity categories
Charalampos Verasdanis
Utilizing previously established results concerning costratification in relative tensor-triangular geometry, we classify the colocalizing subcategories of the singularity category…
Costratification and actions of tensor-triangulated categories
Charalampos Verasdanis
We develop the theory of costratification in the setting of relative tensor-triangular geometry, in the sense of Stevenson, providing a unified approach to classification results o…
Stratification and the smashing spectrum
Charalampos Verasdanis
We develop the theory of stratification for a rigidly-compactly generated tensor-triangulated category using the smashing spectrum and the small smashing support. Within the strati…