From the 1 of 4 linked papers with an AI index.
4 papers
Smashing, Balmer, Zariski spectra: an ideal approach
Jiacheng Liang, Changhan Zou
The paper defines a Zariski frame for any presentably symmetric monoidal ∞‑category, unifying several spectral constructions such as the classical Zariski spectrum and the Balmer s…
Homological stratification and descent
Tobias Barthel, Drew Heard, Beren Sanders +1
We introduce a notion of stratification for rigidly-compactly generated tensor-triangulated categories relative to the homological spectrum and develop the fundamental features of…
Convexity in tensor triangular geometry
Changhan Zou
We classify the dualizable localizing ideals of rigidly-compactly generated tt--categories that are cohomologically stratified. By definition, these are the localizing idea…
Support theories for non-Noetherian tensor triangulated categories
Changhan Zou
We extend the support theory of Benson--Iyengar--Krause to the non-Noetherian setting by introducing a new notion of small support for modules. This enables us to prove that the st…