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math.AT2026
Local Bousfield classes via homological support
Tobias Barthel, Natalia Castellana, Drew Heard +2
Given an object in a big tensor-triangulated category, we study the homological and cohomological Bousfield classes of the associated localization: the tensor-triangulated cate…
math.AT2026
Smashing, Balmer, Zariski spectra: an ideal approach
Jiacheng Liang, Changhan Zou
We introduce the Zariski frame of any presentably symmetric monoidal -category. This allows us to unify several spectral theories arising in higher algebra. The Zariski fra…
math.AT2023★ 1 cited
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…