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The residue current of a codimension three complete intersection

Håkan Samuelsson
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Abstract

Let $f_1$, $f_2$, and $f_3$ be holomorphic functions on a complex manifold and assume that the common zero set of the $f_j$ 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 $\mathbb{C}^3$. We prove also that the natural regularization of the residue current converges unrestrictedly.

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Håkan Samuelsson. 2006-08-31. The residue current of a codimension three complete intersection. https://arxiv.org/abs/math/0608788

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