The quotient of a complete symmetric variety

Mathematics – Algebraic Geometry

Scientific paper

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Dedicated to Ernest Vinberg on occasion of his 70th birthday

Scientific paper

We study the quotient of a completion of a symmetric variety G/H under the
action of H. We prove that this is isomorphic to the closure of the image of an
isotropic torus under the action of the restricted Weyl group. In the case the
completion is smooth and toroidal we describe the set of semistable points.

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