1975
DOI: 10.1090/s0002-9947-1975-0430297-3
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The residue calculus in several complex variables

Abstract: ABSTRACT. Let If be a complex manifold and V an analytic variety.Then homology classes in W -V which bound in V, called the geometric residues, are studied. In fact, a long exact sequence analogous to the Thom-Gysin sequence for nonsingular V is formed by a geometric construction. A geometric interpretation of the Leray spectral sequence of the inclusion of W -V C V is also given.If the complex codimension of V is one, then one shows that each cohomology class of W -V can be represented by a differential form … Show more

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