Abstract
In [KPZ11b] we showed that for any del Pezzo surface Y of degree d = 4 and for any r = 1, the ane cone X = coner( KY )(Y ) admits an eective Ga-action. In particular, the group Aut(X) is innite-dimension al. In this note we prove that for a del Pezzo surface Y of degree 6 2, the generalized cones X as above do not admit any nontrivial action of a unipotent ane algebraic group.
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