55 citations · 257 across the 22 of their papers we have counts for
5 papers · 1 filter
Perfection in motivic homotopy theory
Elden Elmanto, Adeel A. Khan
We prove a topological invariance statement for the Morel-Voevodsky motivic homotopy category, up to inverting exponential characteristics of residue fields. This implies in partic…
Algebraic K-theory of quasi-smooth blow-ups and cdh descent
Adeel A. Khan
We construct a semi-orthogonal decomposition on the category of perfect complexes on the blow-up of a derived Artin stack in a quasi-smooth centre. This gives a generalization of T…
Framed transfers and motivic fundamental classes
Elden Elmanto, Marc Hoyois, Adeel A. Khan +2
We relate the recognition principle for infinite -loop spaces to the theory of motivic fundamental classes of Déglise, Jin, and Khan. We first compare two kinds of tra…
Fundamental classes in motivic homotopy theory
Frédéric Déglise, Fangzhou Jin, Adeel A. Khan
We develop the theory of fundamental classes in the setting of motivic homotopy theory. Using this we construct, for any motivic spectrum, an associated bivariant theory in the sen…
Virtual Cartier divisors and blow-ups
Adeel A. Khan, David Rydh
We prove a universal property for blow-ups in regularly immersed subschemes, based on a notion we call "virtual effective Cartier divisor". We also construct blow-ups of quasi-smoo…