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Levi-flats in $\mathbb{CP}^n$: a survey for nonexperts

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arxiv 2501.15710 v2 pith:EUKMHNL3 submitted 2025-01-27 math.CV math.DS

Rasul Shafikov This is my paper
classification math.CVmath.DS
keywords mathbbnonexpertssurveyaimedanalyticdiscussedexploresfield
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abstract

This survey paper, aimed at nonexperts in the field, explores various proofs of nonexistence of real analytic Levi-flat hypersurfaces in $\mathbb CP^n$, $n>2$. Some generalizations and other related results are also discussed.

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  1. Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for $q$-concave domains

    math.CV 2025-06 conditional novelty 6.0 of 10

    The authors establish q-concave domain versions of holomorphic Morse inequalities via a new Nakano-Griffiths inequality with boundary terms, and use them to prove Kohn-Rossi extension for bar-delta-b closed forms with...

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