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Formal versus analytic CR mappings

Volume 123 / 2019

Bernhard Lamel, Nordine Mir Annales Polonici Mathematici 123 (2019), 387-422 MSC: 32V20, 32V25, 32V35, 32V40, 32H02, 32H40. DOI: 10.4064/ap180720-16-11 Published online: 26 April 2019


We discuss the convergence/divergence problem for formal holomorphic mappings sending real-analytic CR submanifolds into real-analytic sets both lying in complex Euclidean spaces of arbitrary dimension. In particular, we survey the recent developments on this problem for minimal as well as nonminimal source submanifolds. We conclude by describing the results known up to date on comparing the notions of formal, biholomorphic and CR equivalence.


  • Bernhard LamelFakultät für Mathematik
    Universität Wien
    Oskar-Morgenstern-Platz 1
    A-1090 Wien, Austria
  • Nordine MirScience Program
    Texas A&M University at Qatar
    P.O. Box 23874
    Education City
    Doha, Qatar

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