On pristine morphisms
arXiv:2512.06063
Abstract
We investigate flat morphisms of schemes of positive characteristic whose relative Frobenius is an isomorphism, which we call pristine. We show that these give rise to a natural Grothendieck topology that is fine tuned for the localization of Cartier modules.
22 pages, v2: changed title; we added a discussion showing that -singularity invariants transform nicely under pristine morphisms