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math.AC2026
The importance of being isolated
Scott Balchin, Juan Omar Gómez, Greg Stevenson
We give both a sufficient condition for and an obstruction to the derived category of a commutative ring being generated by its residue fields. As an illustration, we exhibit a rin…
math.AC2024
Classifying smashing ideals in derived categories of valuation domains
Scott Balchin, Florian Tecklenburg
Building on results of Bazzoni-Šťov\'ıček, we give a complete classification of the frame of smashing ideals for the derived category of a finite dimensional valuation domain. In p…