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math.AG2024
Two new motivic complexes for non-smooth schemes
Shane Kelly
These are expanded notes from a talk at the RIMS Workshop, Algebraic Number Theory and Related Topics, December 13th, 2023. We discussed Elmanto-Morrow's motivic complex, the procd…
math.AG2024
Non-reduced valuation rings and descent for smooth blowup squares
Shane Kelly
We consider a class of non-reduced valuation rings, known in the literature as chain rings. We observe that the Grothendieck topology generated by the Zariski topology and smooth b…