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Adjoint test modules along Cohen--Macaulay morphisms
Abstract
We provide a transformation rule for adjoint test modules along Cohen--Macaulay maps between Cohen--Macaulay varieties that have F-rational geometric fibers. This is, in part, an effective version of Enescu's theorem on the ascent of F-rationality under local maps with F-rational geometric fibers.
Related
- One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules
- Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension
- Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero
- Regularity and v-number of syzygies of graded maximal Cohen-Macaulay modules
- A local cohomology obstruction to small Cohen--Macaulay modules
BibTeX
@misc{carvajalrojas2026adjoint,
title = {{Adjoint test modules along Cohen--Macaulay morphisms}},
author = {Javier Carvajal-Rojas and Axel Stäbler},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.07956},
eprint = {2605.07956},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.07956},
}
RIS
TY - UNPB
TI - Adjoint test modules along Cohen--Macaulay morphisms
AU - Javier Carvajal-Rojas
AU - Axel Stäbler
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2605.07956
UR - https://arxiv.org/abs/2605.07956
AB - We provide a transformation rule for adjoint test modules along Cohen--Macaulay maps between Cohen--Macaulay varieties that have F-rational geometric fibers. This is, in part, an effective version of Enescu's theorem on the ascent of F-rationality under local maps with F-rational geometric fibers.
ER -