On normality of cones over symmetric varieties

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概要

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• 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.

• 東北大学の論文

著者

• De Concini

  Dipartimento Di Matematica Guido Castelnuovo Universita Di Roma La Sapienza

• Chirivi Rocco

  Dipartimento Di Matematica Leonida Tonelli Universita Di Pisa

• Maffei Andrea

  Dipartimento di Matematica Guido Castelnuovo, Universita di Roma La Sapienza

• Maffei Andrea

  Dipartimento Di Matematica Guido Castelnuovo Universita Di Roma La Sapienza

関連論文

• On normality of cones over symmetric varieties

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