Decomposition of residue currents

作者:Andersson Mats*; Wulcan Elizabeth
来源:Journal fur die Reine und Angewandte Mathematik, 2010, 638: 103-118.
DOI:10.1515/CRELLE.2010.004

摘要

Given a submodule J subset of O-0(circle plus r) and a free resolution of J one can de. ne 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.

  • 出版日期2010-1