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The variety of reductions for a reductive symmetric pair
Authors:Micha?l Le Barbier Gr��newald
Institution:1. Max-Planck-Institut f??r Mathematik, Vivatsgasse 7, 53 111, Bonn, Germany
Abstract:We define and study the variety of reductions for a complex reductive symmetric pair (G, θ), which is the natural compactification of the set of its Cartan subspaces. These varieties generalize the varieties of reductions for the Severi varieties studied by Iliev and Manivel, which are Fano varieties.
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