3 papers
math.AT2025
Torsion models for tensor-triangulated categories
Scott Balchin, J. P. C. Greenlees, Luca Pol +1
Given a rigidly-compactly generated tensor-triangulated category whose Balmer spectrum is finite dimensional and Noetherian, we construct a torsion model for it, which is equivalen…
math.AT2023
Prismatic decompositions and rational -spectra
Scott Balchin, Tobias Barthel, J. P. C. Greenlees
We study the tensor-triangular geometry of the category of rational -spectra for a compact Lie group . In particular, we prove that this category can be naturally decomposed…
math.AT2021
Separated and complete adelic models for one-dimensional Noetherian tensor-triangulated categories
Scott Balchin, J. P. C. Greenlees
We prove the existence of various adelic-style models for rigidly small-generated tensor-triangulated categories whose Balmer spectrum is a one-dimensional Noetherian topological s…