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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''×''G''''x'' ''W''. (see slice theorem (differential geometry).)
==References==
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抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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