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Nonexistence of Levi-degenerate hypersurfaces of constant signature in CP n
Authors:Alla Sargsyan
Institution:1. Institute of Mathematics, National Academy of Sciences, Yerevan, Armenia
Abstract:Let M be a smooth hypersurface of constant signature in CP n , n≥3. We prove the regularity for  align= on M in bidegree (0,1). As a consequence, we show that there exists no smooth hypersurface in CP n , n≥3, whose Levi form has at least two zero-eigenvalues.
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