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Moscow Mathematical Journal, 2008, Volume 8, Number 4, Pages 667–696
DOI: https://doi.org/10.17323/1609-4514-2008-8-4-667-696 (Mi mmj325) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Quotient of a Complete Symmetric Variety

C. de Concinia, S. Kannanb, A. Maffeia

a Dipartimento di Matematica, University of Rome "La Sapienza"
b Chennai Mathematical Institute
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DOI: https://doi.org/10.17323/1609-4514-2008-8-4-667-696
Abstract: 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.
Key words and phrases: symmetric varieties, compactification of symmetric varieties, geometric invariant theory, Chevalley theorem.
Received: January 2, 2008
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Language: English
Citation: C. de Concini, S. Kannan, A. Maffei, “The Quotient of a Complete Symmetric Variety”, Mosc. Math. J., 8:4 (2008), 667–696
Citation in format AMSBIB
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\by C.~de Concini, S.~Kannan, A.~Maffei
\paper The Quotient of a~Complete Symmetric Variety
\jour Mosc. Math.~J.
\yr 2008
\vol 8
\issue 4
\pages 667--696
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    • This publication is cited in the following 2 articles:
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