Logarithmically regular morphisms

Sam Molcho, Michael Temkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider the stack LogX parametrizing log schemes over a log scheme X, and weak and strong properties of log morphisms via LogX, as defined by Olsson. We give a concrete combinatorial presentation of LogX, 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.

Original languageAmerican English
Pages (from-to)325-346
Number of pages22
JournalMathematische Annalen
Issue number1-2
StatePublished - Feb 2021

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