67 citations · 155 across the 19 of their papers we have counts for
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math.AC2025
The Balmer spectrum of pseudo-coherent complexes over a discrete valuation ring
Beren Sanders, Yufei Zhang
We study the derived category of pseudo-coherent complexes over a noetherian commutative ring, building on prior work by Matsui-Takahashi. Our main theorem is a computation of the…
math.AT2025
The tensor triangular geometry of fully faithful functors
Beren Sanders
We prove that the map on Balmer spectra induced by a fully faithful geometric functor is a quotient map whose fibers are connected. This is an analogue of the Zariski Connectedness…
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.