A holomorphic action of a Lie group G on a connected complex manifold D is called strongly visible with slice S if G · S is open in D and if there exists an antiholomorphic diffeomorphism σσ of D preserving each G -orbit in D such that σσ | s = id s . This paper deals with the non-symmetric spherical variety SO(8, ℂℂ)/ G 2 (ℂℂ). We prove that a maximal compact subgroup of SO(8, ℂℂ) acts on SO(8, ℂℂ)/ G 2 (ℂℂ) in a strongly visible fashion. Moreover, we can take a slice to be of dimension three which coincides with the rank of this spherical variety.
End of preview. The entire article is 14 pages. Rent for Free