%0 Journal Article %T On Propagation of Sphericity of Real Analytic Hypersurfaces across Levi Degenerate Loci %+ Laboratoire de Mathématiques d'Orsay (LMO) %A Merker, Joël %< avec comité de lecture %@ 2314-4971 %J Journal of Complex Analysis %I Hindawi %V 2017 %P 1314874 %8 2017 %D 2017 %R 10.1155/2017/1314874 %Z Mathematics [math]Journal articles %X 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-dense 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 a different signature (l, n−l). Up to signature, pseudosphericity then jumps across the Levi degenerate locus and in particular across the nonminimal locus, if there exists any. %G English %2 https://universite-paris-saclay.hal.science/hal-03286268/document %2 https://universite-paris-saclay.hal.science/hal-03286268/file/48.pdf %L hal-03286268 %U https://universite-paris-saclay.hal.science/hal-03286268 %~ CNRS %~ UNIV-PSUD %~ INSMI %~ LM-ORSAY %~ UNIV-PARIS-SACLAY %~ UNIV-PSUD-SACLAY %~ GS-MATHEMATIQUES