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math.CT2026
The tensor triangular geometry of valuation domains
Tobias Barthel, Drew Heard, Beren Sanders +1
We study the tensor triangular geometry of derived categories of valuation domains, obtaining complete ring-theoretic characterizations of their main structural properties. In part…
math.CT2025
Convexity in tensor triangular geometry
Changhan Zou
We classify the dualizable localizing ideals of rigidly-compactly generated tt--categories that are cohomologically stratified. By definition, these are the localizing idea…
math.CT2024
Homological stratification and descent
Tobias Barthel, Drew Heard, Beren Sanders +1
We introduce a notion of stratification for rigidly-compactly generated tensor-triangulated categories relative to the homological spectrum and develop the fundamental features of…