Logarithmically regular morphisms

Sam Molcho; Michael Temkin

doi:10.1007/s00208-020-02116-z

Logarithmically regular morphisms

Sam Molcho, Michael Temkin

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the stack Log_X parametrizing log schemes over a log scheme X, and weak and strong properties of log morphisms via Log_X, as defined by Olsson. We give a concrete combinatorial presentation of Log_X, 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 language	English
Pages (from-to)	325-346
Number of pages	22
Journal	Mathematische Annalen
Volume	379
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-020-02116-z
State	Published - Feb 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s00208-020-02116-z

Cite this

@article{e7a027952d7245e490fdeb5b15e129b6,

title = "Logarithmically regular morphisms",

abstract = "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{\textquoteright}s chart criterion of logarithmic smoothness.",

author = "Sam Molcho and Michael Temkin",

note = "Publisher Copyright: {\textcopyright} 2020, The Author(s).",

year = "2021",

month = feb,

doi = "10.1007/s00208-020-02116-z",

language = "الإنجليزيّة",

volume = "379",

pages = "325--346",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - Logarithmically regular morphisms

AU - Molcho, Sam

AU - Temkin, Michael

PY - 2021/2

Y1 - 2021/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85096394740&partnerID=8YFLogxK

U2 - 10.1007/s00208-020-02116-z

DO - 10.1007/s00208-020-02116-z

M3 - مقالة

SN - 0025-5831

VL - 379

SP - 325

EP - 346

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1-2

ER -

Logarithmically regular morphisms

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this