Artin approximation theorem: Difference between revisions

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In [[mathematics]], the '''Artin approximation theorem''' is a fundamental result of {{harvs|last=Artin|first=Michael|txt|authorlink=Michael Artin|year=1969}} in [[deformation theory]] which implies that [[formal power series]] with coefficients in a [[field (mathematics)|field]] ''k'' are well-approximated by the [[algebraic function]]s on ''k''.

==Statement of the theorem==

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==References==

*{{Citation | last1=Artin | first1=Michael | author1-link=Michael Artin | title=Algebraic approximation of structures over complete local rings | url=http://www.numdam.org/item?id=PMIHES_1969__36__23_0 | mr=0268188 | year=1969 | journal=[[Publications Mathématiques de l'IHÉS]] | issn=1618-1913 | issue=36 | pages=23–58}}

*Artin, Michael. ''Algebraic Spaces''. Yale University Press, 1971.