36 citations · 162 across the 31 of their papers we have counts for
5 papers · 1 filter
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.
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…
Descent in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +3
We investigate to what extent we can descend the classification of localizing, smashing and thick ideals in a presentably symmetric monoidal stable -category …
On surjectivity in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +1
We prove that a jointly conservative family of geometric functors between rigidly-compactly generated tensor triangulated categories induces a surjective map on Balmer spectra. Fro…
Cosupport in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +1
We develop a theory of cosupport and costratification in tensor triangular geometry. We study the geometric relationship between support and cosupport, provide a conceptual foundat…