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

Cap, Andreas; Gover, Rod; Hammerl, Matthias


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 the model to a level that is optimal, in a suitable sense. In terms of the trivializations arising from the special frames, normal solutions of classes of...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Journal of the London Mathematical Society
DOI: 10.1112/jlms/jds002


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