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

MAFFEI, ANDREA
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.
2006
Chirivi, R.; Maffei, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/101319
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