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Separated and complete adelic models for one-dimensional Noetherian tensor-triangulated categories

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Balchin,  Scott
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Balchin, S., & Greenlees, J. P. C. (2022). Separated and complete adelic models for one-dimensional Noetherian tensor-triangulated categories. Journal of Pure and Applied Algebra, 226(12): 107109. doi:10.1016/j.jpaa.2022.107109.


Cite as: https://hdl.handle.net/21.11116/0000-000A-8119-8
Abstract
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 space. This special case of our general
programme of giving adelic models is particularly concrete and accessible, and
we illustrate it with examples from algebra, geometry, topology and
representation theory.
This version: minor improvements, additional references and examples.