Let G be a simple group with an exceptional involution a having H as fixed point set. We study the embedding of G/H in the projective space ℙ(V) for a simple G-module V with a line fixed by H but having no nonzero vector fixed by H. For a certain class of such modules V we describe the closure of G/H proving in particular that it is a smooth variety.
On exceptional completions of symmetric varieties
Chirivi' Rocco;
2006-01-01
Abstract
Let G be a simple group with an exceptional involution a having H as fixed point set. We study the embedding of G/H in the projective space ℙ(V) for a simple G-module V with a line fixed by H but having no nonzero vector fixed by H. For a certain class of such modules V we describe the closure of G/H proving in particular that it is a smooth variety.File in questo prodotto:
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