Logarithmically regular morphisms

We consider the stack [Formula: see text] parametrizing log schemes over a log scheme X, and weak and strong properties of log morphisms via [Formula: see text] , as defined by Olsson. We give a concrete combinatorial presentation of [Formula: see text] , and prove a simple criterion of when weak an...

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Detalles Bibliográficos
Autores principales: Molcho, Sam, Temkin, Michael
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7862543/
https://www.ncbi.nlm.nih.gov/pubmed/33603252
http://dx.doi.org/10.1007/s00208-020-02116-z
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author Molcho, Sam
Temkin, Michael
author_facet Molcho, Sam
Temkin, Michael
author_sort Molcho, Sam
collection PubMed
description We consider the stack [Formula: see text] parametrizing log schemes over a log scheme X, and weak and strong properties of log morphisms via [Formula: see text] , as defined by Olsson. We give a concrete combinatorial presentation of [Formula: see text] , and prove a simple criterion of when weak and strong properties of log morphisms coincide. We then apply this result to the study of logarithmic regularity, derive its main properties, and give a chart criterion analogous to Kato’s chart criterion of logarithmic smoothness.
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spelling pubmed-78625432021-02-16 Logarithmically regular morphisms Molcho, Sam Temkin, Michael Math Ann Article We consider the stack [Formula: see text] parametrizing log schemes over a log scheme X, and weak and strong properties of log morphisms via [Formula: see text] , as defined by Olsson. We give a concrete combinatorial presentation of [Formula: see text] , and prove a simple criterion of when weak and strong properties of log morphisms coincide. We then apply this result to the study of logarithmic regularity, derive its main properties, and give a chart criterion analogous to Kato’s chart criterion of logarithmic smoothness. Springer Berlin Heidelberg 2020-11-21 2021 /pmc/articles/PMC7862543/ /pubmed/33603252 http://dx.doi.org/10.1007/s00208-020-02116-z Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Molcho, Sam
Temkin, Michael
Logarithmically regular morphisms
title Logarithmically regular morphisms
title_full Logarithmically regular morphisms
title_fullStr Logarithmically regular morphisms
title_full_unstemmed Logarithmically regular morphisms
title_short Logarithmically regular morphisms
title_sort logarithmically regular morphisms
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7862543/
https://www.ncbi.nlm.nih.gov/pubmed/33603252
http://dx.doi.org/10.1007/s00208-020-02116-z
work_keys_str_mv AT molchosam logarithmicallyregularmorphisms
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