Pulling back Cartier structures along regular maps
Algebraic Geometry
2026-04-27 v2 Commutative Algebra
Abstract
We introduce a framework for pulling back Cartier modules and their associated invariants along regular -finite morphisms. To achieve this, we construct a relative Cartier isomorphism and operator for an arbitrary regular -finite map of locally noetherian schemes. As an application, we obtain new results on the constancy regions of mixed test ideals, based on the work of Felipe P\'erez.
Keywords
Cite
@article{arxiv.2604.18568,
title = {Pulling back Cartier structures along regular maps},
author = {Javier Carvajal-Rojas and Axel Stäbler},
journal= {arXiv preprint arXiv:2604.18568},
year = {2026}
}
Comments
31 pages, 1 figure, we acknowledge the recent work of Daichi Takeuchi (arXiv:2604.14584), few typos fixed, last section shortened, comments are welcome