3 papers
math.RT2026
Geometric purity and the frame of smashing ideals
Juan Omar Gómez, Maurcio Medina-Barcenas, Greg Stevenson +2
We introduce the notion of geometric purity in rigidly-compactly generated tt-categories by considering exact triangles that are pure at each tt-stalk. We develop a systematic stud…
math.AG2025
Higher Zariski Geometry
Ko Aoki, Tobias Barthel, Anish Chedalavada +2
We revisit the classical constructions of tensor-triangular geometry in the setting of stably symmetric monoidal idempotent-complete -categories, henceforth referred to as…
math.CT2024
Proxy-small objects present compactly generated categories
Benjamin Briggs, Srikanth B. Iyengar, Greg Stevenson
We develop a correspondence between presentations of compactly generated triangulated categories as localizations of derived categories of ring spectra and proxy-small objects, and…