Formal versus analytic CR mappings
Volume 123 / 2019
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
Abstract
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.
