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MR1198845 32F20 (32F10)
Michel, Vincent Sur la régularité $C^\infty$ du $\overline\partial$ au bord d'un domaine de $\bold C^n$ dont la forme de Levi a exactement $s$ valeurs propres strictement négatives. (French) [On the $C^\infty$-regularity of the $\overline\partial$-operator at the boundary of a domain in $\bold C^n$ whose Levi form has exactly $s$ strictly negative eigenvalues] Math. Ann. 295 (1993), no. 1, 135–161.
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