Artin’s criteria for algebraicity revisited

Jack Hall; David Rydh

doi:10.2140/ant.2019.13.749

Artin’s criteria for algebraicity revisited

Jack Hall, David Rydh

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

1 Scopus citations

Abstract

Using notions of homogeneity we give new proofs of M. Artin’s algebraicity criteria for functors and groupoids. Our methods give a more general result, unifying Artin’s two theorems and clarifying their differences.

Original language	English (US)
Pages (from-to)	749-796
Number of pages	48
Journal	Algebra and Number Theory
Volume	13
Issue number	4
DOIs	https://doi.org/10.2140/ant.2019.13.749
State	Published - 2019
Externally published	Yes

Keywords

Algebraic stacks
Deformation theory
Obstruction theories

ASJC Scopus subject areas

Algebra and Number Theory

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10.2140/ant.2019.13.749

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title = "Artin{\textquoteright}s criteria for algebraicity revisited",

abstract = "Using notions of homogeneity we give new proofs of M. Artin{\textquoteright}s algebraicity criteria for functors and groupoids. Our methods give a more general result, unifying Artin{\textquoteright}s two theorems and clarifying their differences.",

keywords = "Algebraic stacks, Deformation theory, Obstruction theories",

author = "Jack Hall and David Rydh",

note = "Publisher Copyright: {\textcopyright} 2019 Mathematical Sciences Publishers.",

year = "2019",

doi = "10.2140/ant.2019.13.749",

language = "English (US)",

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KW - Deformation theory

KW - Obstruction theories

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ER -

Artin’s criteria for algebraicity revisited

Abstract

Keywords

ASJC Scopus subject areas

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