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Subjects
32-XX Several complex variables and analytic spaces
32Wxx Differential operators in several variables
32W10 ${\bar{\partial}}_{b}$ and ${\bar{\partial}}_{b}$ -Neumann operators

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On the absence of the one-sided Poincaré lemma in Cauchy-Riemann manifolds

Fabio Nicola (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Given an embeddable $C R$ manifold $M$ and a non-characteristic hypersurface $S \subset M$ we present a necessary condition for the tangential Cauchy-Riemann operator ${\bar{\partial}}_{M}$ on $M$ to be locally solvable near a point $x_{0} \in S$ in one of the sidesdetermined by $S$ .

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