Abstract
Division and derivatives of differential forms. The residue theorem in the case of a simple pole, Leray coboundary. The residue theorem in the case of a multiple pole. Relation with the notion of the derivative of a form. Composed residues, skew symmetry of the composed coboundary, calculation of composed residues. Generalization to relative homology.
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© 2011 Springer-Verlag London Limited
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Pham, F. (2011). Leray’s theory of residues. In: Singularities of integrals. Universitext. Springer, London. https://doi.org/10.1007/978-0-85729-603-0_3
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DOI: https://doi.org/10.1007/978-0-85729-603-0_3
Publisher Name: Springer, London
Print ISBN: 978-0-85729-602-3
Online ISBN: 978-0-85729-603-0
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