Obstructions to embeddability into hyperquadrics and explicit examples

Details Obstructions to embeddability into hyperquadrics and explicit examples Obstructions to embeddability into hyperquadrics and explicit examples

2006-12-11

arxiv.org/abs/math/0612281v2

Mathematics

Complex Variables

Revised version, appendix and references added

Scientific paper

We give series of explicit examples of Levi-nondegenerate real-analytic hypersurfaces in complex spaces that are not transversally holomorphically embeddable into hyperquadrics of any dimension. For this, we construct invariants attached to a given hypersurface that serve as obstructions to embeddability. We further study the embeddability problem for real-analytic submanifolds of higher codimension and answer a question by Forstneri\v{c}.

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