Showing math.CTShow all
3 papers · 1 filter
math.CT2026
The tensor triangular geometry of valuation domains
Tobias Barthel, Drew Heard, Beren Sanders +1
We study the tensor triangular geometry of derived categories of valuation domains, obtaining complete ring-theoretic characterizations of their main structural properties. In part…
math.CT2026
A non-spatial frame of smashing ideals
Tobias Barthel, Drew Heard
We construct commutative rings whose derived categories have non-spatial frames of smashing ideals, thereby answering in the negative questions of Balchin--Stevenson and Aoki.
math.CT2024
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…