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math.DG2000
Cayley Hypersurfaces
Michael Eastwood, Vladimir Ezhov
We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
math.DG2000
Homogeneous Hypersurfaces with Isotropy in Affine Four-space
Michael Eastwood, Vladimir Ezhov
We classify the non-degenerate homogeneous hypersurfaces in real and complex affine four-space whose symmetry group is at least four-dimensional.