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PARABOLIC COMPACTIFICATION OF HOMOGENEOUS SPACES

PARABOLIC COMPACTIFICATION OF HOMOGENEOUS SPACES

In this article, we study compactifications of homogeneous spaces coming from equivariant, open embeddings into a generalized flag manifold $G/P$. The key to this approach is that in each case $G/P$ is the homogeneous model for a parabolic geometry; the theory of such geometries provides a large supply of geometric …