Geodesic
Non-solvability of the tangential \( \bar \partial_{M} \)-systems
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 2, pp. 111-114

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We prove that for a real analytic generic submanifold \( M \) of \( \mathbb{C}^{n} \) whose Levi-form has constant rank, the tangential \( \bar \partial_{M} \)-system is non-solvable in degrees equal to the numbers of positive and \( M \) negative Levi-eigenvalues. This was already proved in [1] in case the Levi-form is non-degenerate (with \( M \) non-necessarily real analytic). We refer to our forthcoming paper [7] for more extensive proofs. 
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     author = {Zampieri, Giuseppe},
     title = {Non-solvability of the tangential \( \bar {\partial_{M}} \)-systems},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {111--114},
     publisher = {mathdoc},
     volume = {Ser. 9, 9},
     number = {2},
     year = {1998},
     zbl = {0926.32047},
     mrnumber = {MR1677262},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_2_a5/}
}
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Zampieri, Giuseppe. Non-solvability of the tangential \( \bar \partial_{M} \)-systems. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 9 (1998) no. 2, pp. 111-114. http://geodesic.mathdoc.fr/item/RLIN_1998_9_9_2_a5/