Kleiman's theorem

id: kleiman-s-theorem-197-4722185
title: Kleiman's theorem
text: In algebraic geometry, Kleiman's theorem, introduced by Kleiman (1974), concerns dimension and smoothness of scheme-theoretic intersection after some perturbation of factors in the intersection. Precisely, it states: given a connected algebraic group G acting transitively on an algebraic variety X over an algebraically closed field k and V i → X , i = 1 , 2 morphisms of varieties, G contains a nonempty open subset such that for each g in the set, either g V 1 × X V 2 is empty or has pure dimensi
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original url: https://en.wikipedia.org/wiki/Kleiman%27s_theorem
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date modified: 2019-11-09T06:21:12Z
main entity: {"identifier":"Q55616087","url":"https://www.wikidata.org/entity/Q55616087"}
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