Residue: A Geometric Construction

http://dx.doi.org/10.4153/CMB-2002-032-4
Canad. Math. Bull. 45(2002), 284-293

  Published:2002-06-01
 Printed: Jun 2002

A new construction of the ordinary residue of differential forms is given. This construction is intrinsic, \ie, 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.