Given an irreducible representation V of a complex simply connected semisimple algebraic group G we consider the closure X of the image of G in P(End(V)). We determine for which V the variety X is normal and for which V is smooth.
Normality and non-normality of group compactifications in simple projective spaces
GANDINI, JACOPO;MAFFEI, ANDREA;
2011-01-01
Abstract
Given an irreducible representation V of a complex simply connected semisimple algebraic group G we consider the closure X of the image of G in P(End(V)). We determine for which V the variety X is normal and for which V is smooth.File in questo prodotto:
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