Adjoint test modules along Cohen--Macaulay morphisms

Fuente: arXiv
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Autores principales: Carvajal-Rojas, Javier, Stäbler, Axel
Formato: Preprint
Publicado: 2026
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author Carvajal-Rojas, Javier
Stäbler, Axel
author_facet Carvajal-Rojas, Javier
Stäbler, Axel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_07956
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Adjoint test modules along Cohen--Macaulay morphisms
Carvajal-Rojas, Javier
Stäbler, Axel
Algebraic Geometry
Commutative Algebra
13A35, 14B05, 14G17
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.
title Adjoint test modules along Cohen--Macaulay morphisms
topic Algebraic Geometry
Commutative Algebra
13A35, 14B05, 14G17
url https://arxiv.org/abs/2605.07956