Adjoint test modules along Cohen--Macaulay morphisms
Algebraic Geometry
2026-05-11 v1 Commutative Algebra
Abstract
We provide a transformation rule for adjoint test modules along Cohen--Macaulay maps between Cohen--Macaulay varieties that have -rational geometric fibers. This is, in part, an effective version of Enescu's theorem on the ascent of -rationality under local maps with -rational geometric fibers.
Keywords
Cite
@article{arxiv.2605.07956,
title = {Adjoint test modules along Cohen--Macaulay morphisms},
author = {Javier Carvajal-Rojas and Axel Stäbler},
journal= {arXiv preprint arXiv:2605.07956},
year = {2026}
}
Comments
8 pages, comments are welcome