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math.AC2025
The Tate Intermediate Value Theorem
Paul Balmer, Beren Sanders
We explain how the gluing of a closed piece of the tensor-triangular spectrum with its open complement hinges on the support of the Tate ring.
math.AC2024
Perfect complexes and completion
Paul Balmer, Beren Sanders
Let be the -adic completion of a commutative ring with respect to a finitely generated ideal . We give a necessary and sufficient criterion for the category of…