2 papers
math.AG2025
Motivic homotopy theory for perfect schemes
Christian Dahlhausen, Jeroen Hekking, Storm Wolters
We construct a perfect version of Morel--Voevodsky's motivic homotopy category over a perfect base scheme in positive characteristic. By checking the axioms of a coefficient system…
math.KT2025
Duality for KGL-modules in motivic homotopy theory
Christian Dahlhausen, Jeroen Hekking, Storm Wolters
We prove a duality statement on modules over KH-theory in the stable motivic homotopy category whose dualizing object is given by G-theory, over any quasi-excellent scheme of chara…