Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics

Abstract

The first part of the article surveys some work on the Chern-Moser-Weyl tensor and its application in the embeddability problem into hyperquadrics. In the last section, we give a negative answer to a folklore conjecture concerning the embeddability of compact, strongly pseudoconvex, real algebraic hypersurfaces into a sphere of sufficiently high dimension.

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