Luna'S Slice Theorem

(Theorems In Algebraic Geometry)

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Theorems In Algebraic Geometry
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What is Luna's slice theorem?

In mathematics, Luna's slice theorem, introduced by , 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. (see slice theorem (differential geometry).)

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theorems in algebraic geometry

Synonyms

Luna slice theoremLuna theoremLuna's theorem

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