On the global lifting of meromorphic forms

We characterize the existence of global liftings of local data of meromorphic forms, satisfying a family of compatibility conditions on their polar sets, in terms of obstructions belonging to the cohomology H.(X, Ω.), where X is the ambient manifold. These obstructions are constructed canonically, u...

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Detalles Bibliográficos
Autores principales: Dickenstein, Alicia Marcela, Herrera, Miguel E., Sessa, Carmen I.
Publicado: 1984
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v47_n1-3_p31_Dickenstein
http://hdl.handle.net/20.500.12110/paper_00252611_v47_n1-3_p31_Dickenstein
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Sumario:We characterize the existence of global liftings of local data of meromorphic forms, satisfying a family of compatibility conditions on their polar sets, in terms of obstructions belonging to the cohomology H.(X, Ω.), where X is the ambient manifold. These obstructions are constructed canonically, using residue-principal value operators. © 1984 Springer-Verlag.