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Leray’s theory of residues

  • Frédéric Pham
Part of the Universitext book series (UTX)

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.

Keywords

Cohomology Class Simple Pole Residue Class Local Equation Residue Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Frédéric Pham
    • 1
  1. 1.Laboratoire J.-A. DieudonnéUniversité de Nice Sophia AntipolisNice cedex 02France

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