Obstructions to embeddability into hyperquadrics and explicit examples
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Citation:Dmitri Zaitsev 'Obstructions to embeddability into hyperquadrics and explicit examples' in Mathematische Annalen, 342, (3), 2008, pp 695-726
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 Forstnerivc.
Science Foundation Ireland
Keywords:Pure & Applied Mathematics
Series/Report no:Mathematische Annalen