Some applications of the Kohn-Rossi extension theorems

George Marinescu

Some applications of the Kohn-Rossi extension theorems

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arxiv math/9705203 v1 pith:FYCW5FXH submitted 1997-06-02 math.CV

George Marinescu This is my paper · ORCID

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keywords extensionkohn-rossitheoremsfunctionsmeromorphicalgebraicanalyticandreotti

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We prove extension results for meromorphic functions by combining the Kohn-Rossi extension theorems with Andreotti's theory on the algebraic and analytic dependence of meromorphic functions on pseudoconcave manifolds. Versions of Kohn-Rossi theorems for pseudoconvex domains are included.

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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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