Let G be a simply connected semisimple algebraic group and let K be the subgroup of points fixed by an involution of G. For certain representations containing a line r preserved by K, we study the normality of the closure of the set of vectors which are G conjugate to a vector in r. Some applications of our result to the normality of certain classical varieties are given.
On normality of cones over symmetric varieties / DE CONCINI, Corrado; C., Chirivi; Maffei, Andrea. - In: TOHOKU MATHEMATICAL JOURNAL. - ISSN 0040-8735. - 58:4(2006), pp. 599-616. [10.2748/tmj/1170347692]
On normality of cones over symmetric varieties
DE CONCINI, Corrado;MAFFEI, Andrea
2006
Abstract
Let G be a simply connected semisimple algebraic group and let K be the subgroup of points fixed by an involution of G. For certain representations containing a line r preserved by K, we study the normality of the closure of the set of vectors which are G conjugate to a vector in r. Some applications of our result to the normality of certain classical varieties are given.File allegati a questo prodotto
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