Luna's slice theorem

id: luna-s-slice-theorem-237-12771089
title: Luna's slice theorem
text: In mathematics, Luna's slice theorem, introduced by Luna (1973), describes the local behavior of an action of a reductive algebraic group on an affine variety. It is an analogue in algebraic geometry of the theorem that a compact Lie group acting on a smooth manifold X has a slice at each point x, in other words a subvariety W such that X looks locally like G×Gx W.
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category slug: encyclopedia
description: Mathematical theorem
original url: https://en.wikipedia.org/wiki/Luna%27s_slice_theorem
date created:
date modified: 2024-01-15T20:11:05Z
main entity: {"identifier":"Q6703479","url":"https://www.wikidata.org/entity/Q6703479"}
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