Residue currents with prescribed annihilator ideals
By M. Andersson, Elizabeth Wulcan. 2005
93 citations recorded by the source corpus.
Abstract Given a coherent ideal sheaf J we construct locally a vector-valued residue current R whose annihilator is precisely the given sheaf. In case J is a complete intersection, R is just the classical Coleff–Herrera product. By means of these currents we can extend various results, previously known for a complete intersection, to general ideal sheaves. Combining with integral formulas we obtain a residue version of the Ehrenpreis–Palamodov fundamental principle.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ee674fae1186ec8b45d85848225da2094ac07e5d
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In Algebra and Number Theory
In Computational Theory and Mathematics
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Citations in the corpus
- Regularization of closed positive currents and intersection theory (2017, methodology): “A generalization of the Poincaré-Lelong formula was also obtained by Andersson (see [1, 2]).”