On pristine morphisms

Fuente: arXiv
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Auteurs principaux: Carvajal-Rojas, Javier, Stäbler, Axel
Format: Preprint
Publié: 2025
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author Carvajal-Rojas, Javier
Stäbler, Axel
author_facet Carvajal-Rojas, Javier
Stäbler, Axel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_06063
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On pristine morphisms
Carvajal-Rojas, Javier
Stäbler, Axel
Algebraic Geometry
Commutative Algebra
13A35, 14B25
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.
title On pristine morphisms
topic Algebraic Geometry
Commutative Algebra
13A35, 14B25
url https://arxiv.org/abs/2512.06063