3 papers
math.AT2025
Log homotopy types are homotopy types with modulus
Shane Kelly
We show that the category of log homotopy types is a full subcategory of a category of homotopy types with modulus.
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…