Grothendieck existence theorem

id: grothendieck-existence-theorem-257-17704357
title: Grothendieck existence theorem
text: In mathematics, the Grothendieck existence theorem, introduced by Grothendieck (1961, section 5), gives conditions that enable one to lift infinitesimal deformations of a scheme to a deformation, and to lift schemes over infinitesimal neighborhoods over a subscheme of a scheme S to schemes over S. The theorem can be viewed as an instance of (Grothendieck's) formal GAGA.
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original url: https://en.wikipedia.org/wiki/Grothendieck_existence_theorem
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date modified: 2023-08-14T20:59:14Z
main entity: {"identifier":"Q5610727","url":"https://www.wikidata.org/entity/Q5610727"}
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