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arXiv · 0710.2016

Decomposition of residue currents

Mats Andersson·Elizabeth Wulcan
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Abstract

Given a submodule $J\subset \mathcal O_0^{\oplus r}$ and a free resolution of $J$ one can define a certain vector valued residue current whose annihilator is $J$. We make a decomposition of the current with respect to Ass$(J)$ that correspond to a primary decomposition of $J$. As a tool we introduce a class of currents that includes usual residue and principal value currents; in particular these currents admit a certain type of restriction to analytic varieties and more generally to constructible sets.

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Mats Andersson, Elizabeth Wulcan. 2009-07-30. Decomposition of residue currents. https://arxiv.org/abs/0710.2016

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