Obstructions to embeddability into hyperquadrics and explicit examples
Complex Variables
2015-02-16 v2 Differential Geometry
Abstract
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}.
Cite
@article{arxiv.math/0612281,
title = {Obstructions to embeddability into hyperquadrics and explicit examples},
author = {Dmitri Zaitsev},
journal= {arXiv preprint arXiv:math/0612281},
year = {2015}
}
Comments
Revised version, appendix and references added