Decomposition of residue currents

By M. Andersson, Elizabeth Wulcan. 2007

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Abstract Given a submodule 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 corresponds 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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

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