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math.CVAug 2, 2006
11
citations (OpenAlex)
authors
  • Bernhard Lamel
  • Nordine Mir
institutions
  • Centre National de la Recherche Scientifique
  • Laboratoire de Mathématiques Raphaël Salem
  • Université de Rouen Normandie
  • University of Vienna
arXiv abstractPDF
paper

Remarks on the rank properties of formal CR maps

arXiv:math/0608048 · doi:10.1007/s11425-006-2047-8

Abstract

We prove several new transversality results for formal CR maps between formal real hypersurfaces in complex space. Both cases of finite and infinite type hypersurfaces are tackled in this note.

References in corpus (4)

  • Finite jet determination of CR mappings
  • Rational jet dependence of formal equivalences between real-analytic hypersurfaces in \C^2
  • A hypersurface in \C^2 whose stability group is not determined by 2-jets
  • Nonvanishing of the differential of holomorphic mappings at boundary points

Cited by in corpus (4)

  • Finite jet determination of CR mappings
  • Transversality of holomorphic mappings between real hypersurfaces in complex spaces of different dimensions
  • On formal maps between generic submanifolds in complex space
  • Transversality of holomorphic mappings between real hypersurfaces in different dimensions
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