On transfer of biholomorphisms across nonminimal loci

Joel Merker

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arXiv · 1311.5195

On transfer of biholomorphisms across nonminimal loci

Joel Merker

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Abstract

A connected real analytic hypersurface M in C^(n+1) whose Levi form is nondegenerate in at least one point - hence at every point of some Zariski-open subset - is locally biholomorphic to the model Heisenberg quadric pseudosphere of signature (k, n-k) in one point if and only if, at every other Levi nondegenerate point, it is also locally biholomorphic to some Heisenberg pseudosphere, possibly having different signature (l, n-l).

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Joel Merker. 2013-11-20. On transfer of biholomorphisms across nonminimal loci. https://arxiv.org/abs/1311.5195

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