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Projective BGG equations, algebraic sets, and compactifications of Einstein geometries

Projective BGG equations, algebraic sets, and compactifications of Einstein geometries

For curved projective manifolds, we introduce a notion of a normal tractor frame field, based around any point. This leads to canonical systems of (redundant) coordinates that generalize the usual homogeneous coordinates on projective space. These give preferred local maps to the model projective space that encode geometric contact with …