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Residue: A Geometric Construction

Published online by Cambridge University Press:  20 November 2018

Fernando Sancho de Salas
Fernando Sancho de Salas*
Affiliation:
Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1–4, 37008 Salamanca, Spain, e-mail: fsancho@gugu.usal.es
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Abstract

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A new construction of the ordinary residue of differential forms is given. This construction is intrinsic, i.e., it is defined without local coordinates, and it is geometric: it is constructed out of the geometric structure of the local and global cohomology groups of the differentials. The Residue Theorem and the local calculation then follow from geometric reasons.

Keywords

14A25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 2 , 01 June 2002 , pp. 284 - 293
Copyright
Copyright © Canadian Mathematical Society 2002

References

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