The residue current of a codimension three complete intersection
Report, 2006

Let f1, f2, and f3 be holomorphic functions on a complex manifold and assume that the common zero set of the fj has maximal codimension, i.e., that it is a complete intersection. We prove that the iterated Mellin transform of the residue integral has an analytic continuation to a neighborhood of the origin in C3. We prove also that the natural regularization of the residue current converges unrestrictedly.


Håkan Samuelsson Kalm

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

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Mathematical Analysis

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